{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Missing Data Examples\n",
"\n",
"In this notebook we will look at the effects missing data can have on conclusions you can draw from data. We will also go over some practical implementations for linear regressions in Python"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Includes and Standard Magic...\n",
"### Standard Magic and startup initializers.\n",
"\n",
"# Load Numpy\n",
"import numpy as np\n",
"# Load MatPlotLib\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"# Load Pandas\n",
"import pandas as pd\n",
"# Load SQLITE\n",
"import sqlite3\n",
"# Load Stats\n",
"from scipy import stats\n",
"\n",
"# This lets us show plots inline and also save PDF plots if we want them\n",
"%matplotlib inline\n",
"from matplotlib.backends.backend_pdf import PdfPages\n",
"matplotlib.style.use('fivethirtyeight')\n",
"\n",
"# These two things are for Pandas, it widens the notebook and lets us display data easily.\n",
"from IPython.core.display import display, HTML\n",
"display(HTML(\"\"))\n",
"\n",
"# Show a ludicrus number of rows and columns\n",
"pd.set_option('display.max_rows', 500)\n",
"pd.set_option('display.max_columns', 500)\n",
"pd.set_option('display.width', 1000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For this work we will be using data from: Generalized body composition prediction equation for men using simple measurement techniques\", K.W. Penrose, A.G. Nelson, A.G. Fisher, FACSM, Human Performance research Center, Brigham Young University, Provo, Utah 84602 as listed in Medicine and Science in Sports and Exercise, vol. 17, no. 2, April 1985, p. 189.\n",
"\n",
"[Data availabe here.](http://staff.pubhealth.ku.dk/~tag/Teaching/share/data/Bodyfat.html)\n"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"# Load the Penrose Data\n",
"df_penrose = pd.read_csv(\"./data/bodyfat.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" df_penrose.plot.scatter(x=o, y='bodyfat', ax=ax[i])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's say we want to look at some linear regressions of single variables to see what is going on! So let's plot some regression lines. Note that there are at least a few different ways -- [linregress](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html), [polyfit](https://docs.scipy.org/doc/numpy/reference/generated/numpy.polyfit.html), and [statsmodels](https://www.statsmodels.org/stable/index.html).\n",
"\n",
"Here's a good article about it [Data science with Python: 8 ways to do linear regression and measure their speed](https://www.freecodecamp.org/news/data-science-with-python-8-ways-to-do-linear-regression-and-measure-their-speed-b5577d75f8b/)."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's do a basic Linear Regression on a Single Variable.\n",
"# Note that linregress p-value is whether or not the slope is 0, not if the correlation is significant.\n",
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" slope, intercept, r_value, p_value, std_err = stats.linregress(df_penrose[o],df_penrose['bodyfat'])\n",
" line = slope * df_penrose[o] + intercept\n",
" diag_str = \"p-value =\" + str(round(p_value, 7)) + \"\\n\" + \"r-value =\" + str(round(r_value, 7)) + \"\\nstd err. =\" + str(round(std_err, 7))\n",
" df_penrose.plot.scatter(x=o, y='bodyfat', title=diag_str, ax=ax[i])\n",
" ax[i].plot(df_penrose[o], line, lw=1, ls='--', color='red')"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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glYnlGNcntWX8qSsuIkNqGTlUK91j59J9XHTPPShcuBDtc+fCf/75ZieHyPKk8b+7NYhJKxsV85FsGnZKpFbsfe1yCIAYXgSV97gxcqneoQWflOexqe8ehDcgIiCG99a79N2DXd5T7/Fj0spGjFrSgEkrG7G9xW9CSrMTF5EhtSJDteo8QWxo7MS0Ne6MH3tXuyAb67l0Hzvefhvt99+PzhkzzE4KUVaIxH/hodqiL4iE+YiReZkc1lEoE2Lv6y0HAthyMJCxe1xOrt/3uVTv0IJPyvNYR1BM+BpQP68jF3vH0/1O2TR/h8xl5FAttce+82snvmk9HOtXrT6ANVN6d7mPI5WBbIr1wj/8Abb//hfeTz4xOylEWSUS/6OWNKDOczjvUMpHpD//vq1rfqFFsnI4X+eeUmYlKpMzNbQ6Nhb2tYXgDYTr7Fa57/VsB+Rr/ZlPyvNYkV1I+BpQX6HPdO94JuTidyJrMnKrErXH/m9bfHHwtTsg+75siwvnU0+h6KGHEOrTx+ykEGUttfmI9OduH9LKL5LlN/k695QyK1GZnKmh1bGxEGmQR1jhvs+2uoEVsVGeg9QOa3llYjlcDgEOAXA5wnPKpdQWxEYVjGYO0WFhT5li5FAtNceu9/jhlw6U6dpHByBxXFhtSF3BokUonjULvhtvhO/ee01NC1E2U5tHSd9XURSfkWgtR6Xv39TUGZe3SOskkTnvZuc9lFti7+uRFQ6MKHdkfGh1otgpcSgU2BmkVDewWr3Ayjh8PQddtfoAthwMP+WqQxBX/usA1p7Xu8v7xvUpxq4rEy/spnZfQ6MWZTBzaFq+LjRBmWfkUC01x56+1g1R0gofUipfPCRa+MlSQ0lFEaGhQ9Fx223w3XOPOWkgyhFq8yi5LRV3eDujr7WWo9L8JiAentP+3PgydARCKLQDnUFARPyc93wc/krGsMJwamksxBK7zj7twuhppkp1ZkvVCyyOT8pz0DeeQMLXWkQyok0XVmHV5ErFADbqSZ+ZT6uN+k7sNSSrkcZVoQ148fQK2Xs10cJPVhldUvC3v6FHeTmCo0axQU5kothydES5A75gCBd8WqS67It8XvogsMkXxPS1bmw5GIDvUINc+nuiXBIbS4WS1ptXZk0oKaOHlyvVma1SL1BipTo5n5TnImlsquhBS5dRvYhmPq026jux15CsRhpnI49worqkAJNWNsreq0oLP1lhdEnBP/6BbjfcgM6LLwYKrL0AHVGuiy1HD+cnNuzsUPc0O/L52LwICOctiSr3HNlGuUY+lsLU3O9GN46V6sxWqBckYqU6OZ+U56ChZY6Er1OlZ2+S2mPl4rYIVu81JOvIVA/uwgllGFESjMbZrNEuTFrZiE1NnXHvi71X5dabMDtebXV16DZtGvxnn432hQszem6iXJdKfhT7mc37lfOTZOTyFmke5HIIOVVXIFKKuVmjXXFrQt032pX0WEYuKJuI2fWCZKxUJ+eT8hz0wmkVquaBa6Vnb5LaY5k5j8eo+TdW7zUk68jUloTVJQV4fqQPNTUDAHTthY+IvVfl1pswM16FgwcROvJItL70EgKTJ5uSBiKrMKL8SqUOEPsZKS1ln1zeopQHEeUKpZibs9EbXYHdGxAxe6MXqyanvkaUkfPNrTAfPxEr1cnZKE+B1ffkNioA9OxNslLPlBKjhrSoXTyPSOuWhED4Xh33WiM+OE95DQit53UIwKie8T3cVipoHe++i+4XXQTvG2+wQU4EY8qvVMrtLutV2IFeBSH0KSlS3AlCbf3KSnkQkRGUYi6VWEwUL3J1iF7dbJZs4+jNSnVyNspTYKX5B5mkZ2+SlXqmlBjVccCKBKmlNk6k96Y3IKaVL0nPO6qn07L3rH3NGnS/6CIERo1CcNw4s5NDZAlGlF+plNtd1quocGL+EDdqavrLvj9f61dEcpRiTu86tFwdwusJ5kUMWqlOzjnlKciGp7xG0HNeiNXnmADmzb8hilAbJ3L3Zjr5UjbEJwBAFOGaMgXBYcPQunq12akhsgwjyq9U8gWtn8nX+hWRHKX40buMTpQ/MAYzh0/KU5ANT3mNoGdvkpo9Fc1mpSEtlJ+UYk46xPO+0S5c+u7B6BwzIL18yUo9x0psmzdDLC+H57vvIB5xhNnJIbIUI8qvVPKFyGciedb5q/aju1iIl6r8skNi87V+RSRHKeb0LqNj84uG1iDaYtrhJdL9CMkwbJSngI219Fl1iJrV1wsgArrGz+yNXnxwXmXG8iWz48T+2WdwnXoq/D/9Kdr+/veMnZcoW1itYy1+wTe7Ypk/a7QLU989iI6giCK7ulWliSg9sfnF+Nf2YsvBQPR3ah+imV0vyAWmDV9fuHAhxo4di/79+6N///4444wz8Pbbb0d/L4oi5s6di6FDh6Kqqgpnn302tm3bZlZy40Ru3k0XVmHV5NQXU8pnVh2iFqk41HmC2NAY3keV1MnmmM42cvGTyXzJzDixffklXKeeCrG0lA1ygzGmSS9qy/zIqtIB8fCq0qQvxjUl4g2KCV8rYf05faY1yvv27YvZs2djzZo1eO+99zB+/Hhcfvnl+PLLLwEATz75JObPn4958+Zh9erVqKysxPnnn4+Wlhazkkw6sup8bbUVh0ztH51NGNOZk6n4UbrPzexUK77rLoiFhfDs2JGxc+YrxjTpRW2elam8JZ/LcMZ1flJ7z6dav7Dqw7ZsYlqj/Oyzz8YZZ5yBQYMGYfDgwbj33nvhcrnwySefQBRFLFiwADfffDOmTJmCYcOGYcGCBfB6vVi8eLFZSTZNLhYesYtUjCh3wBcMmfb9Yq/vvrZQ3O+UMiP2CHbFmM6cTC3EdtV7B+Lu8xOX7cP2Fr9ioW1kXmX79lsUzZyJ1hUr4Nm7V7fjkjLGNGmllAdE8qwfdBdQbBPR0B6I+33kc7tb4yvyRnU45nMZzrjOfmrL2tj3nbS8UdU9P2u0Cy6HAIcAuBzqp5BY9WFbNrHE6uvBYBBLlixBa2srxowZg+3bt2Pv3r047bTTou8pLi7G2LFjsX79ehNTao5cLDxih9oWOWzYfCAQ/X5XrT6Q0U6I2OvrDYhwOYSkjR32CCbGmA4zqpGaqaHq37gDca/bgsC0NW7FTgGj8iqhvh4lxx+PwoULdTkeaceYJjWkeUCkPD9/1X4AwBGFdrSHBOzwhuLyiMjnIkVpoQ2GdjiyDA9jXGePVBrY0vptLL2nkGTNri0WZupCb1999RUmTZqEjo4OdO/eHS+99BKOOeaYaOBXVsYvAlJZWYk9e/YkPGZtbW3cv1rsahcw6z9OuP0CygpEPPDDTvQrNn+Z8D0tRYjtP9nT0pHw+6Xy3c0k/X7bDvrRKYZXe6xDEFe+vQfPj/SpOlYq3116/nJHEK+MaAUAdDa4UdvQ9TPdxUIA9pjXnaZfdy3nr6mpMSQNRsZ0NrpmcyG+aAnfJ1rvZTNIr7UoFgOIX3l1R3MHOhvqMX/I4Z9F4kRrXqWGs6EBI845BwDw6YYNwLffpnU8K9Hz3s6mmAayO65TlQ/fWZoHbD7gRyQPqUMQTkFEbJ4SySOkn+vlDGH+ELdiGZwuK5XhSuc1KqYB65XV+RAbaiS6DrH1CamdHvmyVhpXsZTu+XTKcbl6QSpy9X5IFtOmNspramrw/vvvw+PxYPny5ZgxYwZWrlyZ9jFra2tTysxuWNmIL1rCq4Pu7AB+t6OHJVYv7fNNI3Z2dB5+XVKEmpr+su9N9t2tuDqi9PsJNgExO6LAKzhRUzMg6XFS/btrub4RL1X5u6x0beZ1TPW7682omM5WrVsaEHszq72XlRgZv3L30NCv4ldhBQBvyK74N0kllpKxtbUhdMQRaPn2W9QIubM1i1ViNhkjYjpy3HySLX/viFTzGmkeIO3Uk5bvkTzCiLwjEauU4WbdF1Yqq7MtNtTSGkPJroO0PhGrJShfLkvjyuUQ0KubLWF6Mh2LUrl6P6hhaqPc6XRi0KBBAIBjjz0WmzZtwrPPPovbbrsNANDY2Ij+/Q/fCI2NjejVq5dh6bHqcCY9t2Cz4lZk0u/XEQjFNQSMnpeSyvVVs92MFTtAjGa1mDab3nvuaolfPe6/F0+vwI+X7kNnzFILFUXKDWM98yph716UDhkCzzffoOW771I+DqWHMZ2d0o3/VOsKsXnA7tYgpNWoIaUOIOCDV3DG5RGZ3mrWalvGZRrj2nhqYygSq3taitDnm0bFWJXWJ2KVFcqnQS6ukuUD3PbZPJbapzwUCqGzsxPV1dXo3bs33nvvPYwaNQoA0NHRgY8++ghz5swx7Px6V6CTUVto6ll4WLHjQfr9trd07cHO5PkjzKrU5BKzY9psehduWuL3qvcOYMuBcOdWHYK4avUBrJnSW/W5Ive/tAleVaxcbOiVVwn796N0SHgcnNizZ9rHI/3ke0xni3TLH611BWl5uWzSEZi2JnZv8vBTuhdPr0BnQ32XEUPSvCMyfzafOrXNxLhOLJX6oNoYOhyrNuzs6FSM1dj6xL62UNwccbcPGLWkoUvaUimT873DykymNcrvv/9+TJo0Cf369Yuu6rhu3Tq8+uqrEAQBM2bMwGOPPYaamhoMHjwYjzzyCLp3746LLrrIsDRlunfIjEZbpjseUmGVDCHTlZpsZ8WYNpve97KW+JUu0va15HUysfc/ABTagZEVGVi8xedD6VFHAQCam5oAu/XyqHzBmM5e6ZY/WusKcuWl0lM6NfNM2altHMa1dqncj2pjSG2sxtYnYh9eRRroXk+QsWISoakJwv79CA0ZkvzNCZjWKN+7dy+mT5+Offv2obS0FMcccwwWL16M008/HQDw61//Gu3t7Zg5cybcbjdGjx6NpUuXoqSkRNd0mDnE2IxG26zRLkx99yA6giKK7Oq3OshHma7UZDurxLTRzMwzIpXc79v8cPsQ3VZINg3SR9wap2NL7/d+3e3GF/TBIOB0wjdjBjpmzwYclhrMlXfyJaZzkVL5ozb/UnpIofR5ufIynU7JfOvUziTGtXap3I9q69up1BVjY2vUkgZ4PYc/H5u2fJxGmWnOp55C8axZCBx7LFr//e+0jiW43W5Ny4vPmzcP55xzDoYNGyb7+23btmHFihW444470kpYOrQsEjBpZWPc06Axlc6M9TAZce5k393M72s0vReHSPdayQ3DNyozTOe7Z0NMW4kVYkhNGsa/Fr9I24hyB9aepzx8XXoPZfx7trSgR//+6Lj7bvhuv92481iEkYvZMKatJ9OLFymVP+nGtdLntRxXzbWwQj6bCWrvi1yO6WxY2CuV+1HtZyKxuqelA31KijTXFROdJxvjKBvuB3R2oui3v4VYVQXR6URo8GAEzjor7cNq3qf84YcfxldffaX4+23btmHevHlpJSqTzOyNNWNPP6O+r1H7MZsp3b9PpvaSTleuxbTRrPAER00aXjy9Iu7+ffH0Ck3nSOX+TzkfaGtDj0OLCvl+9StN6aSuGNOkVP6km38pfT7d8lKad9w32pWzex4Lu3bBsWKFps8wps2Vyv2tdVj60uM7UqorJkqbkfWVXKz3JyWKKJ4+HT169ULhwoUInHgiOn/1K10a5IABw9e9Xi8KCqzZ+JBj5hBjM+ZOG/V9c3H+l1Xmtpst22LaaFaYlqAmDenev6l8PtV8oEffvgCA5l27gOJi7YklTRjT+Svd/Evp8+nmN9K8Y/ZGb06Wv44VK9D9qqsQqqxEy7nn6nZcxrSxUrm/M1VXSJQ2I9OQi/V+RaII27ZtKHjrLThffRW+669Hx9y5gM7btKpqlH/55Zf44osvoq8/+ugjBAJdFw1yu93485//bP1hBzHybel/o+aUK/XGmTmfhXNplOVyTBstE3lGsnvX6DREzh+Zu15RJKCq2JE0hjT3yvt8EPbvR8tHHyHUrx/g4hoXqWJMkxqa1qVI8Hm98x65vEOaD84a7cKcjd6sLNPtmzbBsXo1QgMHovWllxCYPDnpZxjT1pTuugyZpEca1K4j8X1bbu6Y4Hz6aRTfey9EhwMttbXw3XILYNM80FwVVXPKH3744eiwGEEQIIrKHykrK8Nzzz2HM844Q79UapQV8xEMYtaccj3mmaXL9DmxJtJ6z2dbTOcbM+7d2HtbDk3cAAAgAElEQVRIen616dCUbr8fPSrDv2t2u9NIeXbSu5xiTFub1eolZpaPctdCLj0AumypFrsNVFaU6R0dKBk5Era9e9F52WVof+aZuAp9ovsiX2LaarGRjFGxY9XroLZ+r1d8WuU6CDt3onT4cABA4MQT0fraa0ChwobwOlH1pPzqq6/GmWeeCVEUcdppp+Huu++WDfzu3btj4MCBcHDFXMsyan6JUm+cmfNvrTD316oY09Zm9r2rdL5k6VDdKx8IRBvknu++SyutFMaYJi3MzmOk5PKO81ftj3tPRzC+UWp2mpMRGhpQOnQoAKB18WIEJk7U9HnGtDVZLXaMlmgdidiYbWgPwOsVFT+XLRzvvIOiBx5Axz33oH32bHT+4hdAaWlmzq3mTVVVVaiqqgIAvP766xgyZAgqKy3eO0myjJpfojSnxcz5t1aY+2tVjGlrM/velZ5fbTrUzrsrnDsXAOCprYV4xBGpJZLiMKZJC7PzGCm5vEOaxiJ7/JM4s9OsRNi9G92uuw6+669H69/+hsBPf5rS3FPGtDVZLXaMpnYdiUkrG7HD29nlfdnCtnUrSsaOBQAEhw1DYOxYYNKkjKZBc7faSSedZEQ68lKm5jzHnqfEIWBEuQPeoJj2HBc16TdzTo303LNGu3Jyvku6GNPWY9Q8MFGEYsx+etCGU1/8Hh1BEU4bMKTUhtag2GVOeVpCITj//Gf47rkHvttu46JuBmFMUzKZWpciUXmrZu2MK/91AN94AoAI9C62IdgahF+Ermvi6EYUUfzLX8L56qsAgLa//x1iebkuh2ZMZ57S/WmFueKx1u1pj1sr6pWJ5RjXJ3nZqvfceKtdF7VsX3+NghUrUHAobls++wyhgQNNSYvmfcoBYN++fXjxxRfx+eefw+PxIBQKxR9UELBC43YPerLKfIRkMrVPudJ50u0UsNqcbbPm0ytdx0wuNJfuPW/1mKbDkt1vDW0BHPCJ6AyJ6Iz5M8rN0YyNgT6LdqE9dPhpjsshYNeVffVLuCiix6EKanNDA1BUpN+xs5DR5RRj2lrS/XunUp7oXQZpOV6i8jZyLdSUyUrrWyi93zSBAIoeeACFTz6Jjkinowpa7otcjWmr1tlTqTOmE6ep7lP+gxe/jxtBorbsVvv9Mr1ocqbuB6G+HqXHHht93dzYCJi8g4HmJ+Vbt27F5MmT0dbWhsGDB2Pr1q0YOnQo3G439uzZg4EDB6Jfv35GpDXnZGpeitJ50t3OINvm1UjTt3l/J0YtaUg7k1G6jtmyXQRjOrtI76sxy/ZhZIUTvmAImw90XZk3Qi4+Y3/WGV+/6zJ/My0xDXLP55/nfYPcaIxpa0qncptKeaJ3GaTleGrqB6m8R+3vMsbng+uEEyAEg/CuXImOu+82ZDEoxnTmpVLHlcbIuNca0aubLWG8H/6MDTs7OjXHqbSsVlt2q/1+2VKXVa29HUUPPojC+fMBAG1PPw3/lVeanKgwzWu6z549G0VFRVi/fj2WL18OURQxd+5cbN26FQsXLoTb7cYDDzxgRFpzjnS+hVHzL5TOozXDqfeEtzsYtaQBk1Y2osQRP0fK6Pkj0vNvb/Fr+rw0fb4QUOcJYkNjOBNMldJ1zJZOC8a0ftK9R9WQ3ke+YPjp99du5QY5EL7/E+U5TklpUGTXb/9NYc8eAEDLxo0QjzxSt+OSPMa0NUUqt2rLndj8ZPOB+KfFasqT79v8CV9rpaVMU1O/SeU9an+XCQUvvYQevXvD/t//om3+fIgDBhi2OjNjOvPU3J/SMn+nNz5OvQExabynW1eUltVqy261bZBsqcsm1dyMHmVl6NGnDxzvvYeWf/8bzW63ZRrkQAqN8o8//hhXX301qqurYTu0rUNkm4aLLroIF1xwAe699159U5mjFk4ow5hKJwaV2jGm0ql5/oXaBoDSebR2CkgrFKKItNKvldYKjVTsdZB+VblMRu31VbqOmep0SRdjWj+p3KNaG/KK95FCOVxoQzQ+5fKCyPm720TYANiF8PC3VybqMxey+09/CqGjA81uN0JHHaXLMSkxxrQ1aa3cxuYn0reqKU/cvq6v0+k4lJ5zX1tI8Thq6jda3zOywoER5Y6M1TkUtbTA9u236HbjjfCfcgqaDxxA8OSTDT0lYzrz1Nyf0jJ/b7vy8ZTiPVFdUU28vjKxHC6HAIfGsjv2+42ocKAjIB/P2VKXVRQKofj669GjuhoA0HHnnfB++CFCMUPXrULz8HW/3x9dDbLo0BDE5ubm6O+HDx+O//u//9MpeblN7UrFSuSGlMwfov48WhdlkGYo3qCItedlbghLur11sddBOpdGLpNRO2RH6Tpmy6IXjGn96DHcLdnQsIUTyjBm2b4ulfQhpQ4UOWxoaA/gQIeIskKgb7eCLkPmlOdshit6Y3rqN0+ztF8/CK2tQKf8nFAyBmPamrSu2izNPwptQD+XXXV5UlEkxG1RVFEkpDUUNbZM29cWgjcgwusJyh5HTf1Gr/dkUvGMGXC+/DLannsOzXv3Gr5vcQRjOvPU3HvSGBUEAAqjx5XiPRJXsXPKI9TE67g+xdh1pfZFU5XqxNLzZEtdtotQCMU33QTnSy8BAHw33ICOhx4yOVGJaW6U9+/fH7t27QIAFBcXo6qqChs2bMCUKVMAhOe9dO/eXd9Ukiw9G6lqJKpQZGIhCK0VmkRpUpPJqL2+StfRapUJJYxp/aSyVYrWOBZFoEAQ4EP8wi4vnl6RUsylko+oifeSIUMgtLaiZc0ahA7t1UuZwZi2Jq2VW2l+MvIIbR1mVcWOuC2KqoodadUbYsu0UUsa4PUc/mxDW8D03U2MrIcIO3eidPhwAOEnbf5LLtHluGoxps2ldG9JY7RYsm2fyyHEzSmXE4mr8AJn/eN+Z/baU7HpM5PW2O526aUoePttAED7gw+i84YbUtqWMNM0N8pPPvlkvPHGG7j77rsBABdffDGeffbZ6EqQr7zyCq600Pj8XJbpvRITVSi09r6nUnhqrdAkSpOaTCbd65vpFSuB8GqStsZGBH/8Y9WfYUzrJ5UeZa332fS17i6F/gfnVWrebijV80fSkDDeRRHBY47BtwtfwJU7+6Lp2/QXVCT1GNPWpLVym+4TKrnPT1vj1qXeIM03DvhE7GiNX+BKLl8yUiqLbCUVCMD+4YdwrFuHwAknoPXVV4HSUp1Tnhxj2lxKZZ40xu4b7cLsjV7d6n2ZqufrfR69dyVS28awf/ABul94IYSODgBA8759gNOZ1nfJJM1bou3cuRObNm3CmWeeicLCQvh8PsycORPLly+H3W7HWWedhXnz5sHlMm//SKtur6C37S3+aGbgcgiACBxs70xpS4V0jVrSgLqYXvNBpXZsurBK8f16bk8Wu51EeTcnIIaH1u9ujZ+HlyxNUrHX18pbxgnbt6NgyhQU19cjVF4O/5Qp6HjiCdWfz4aYzmXJ7jNpIdbQHsAO7+Gl0gd0t6Gqm6PL59Xef5HzR4bOzRrtwpwklYpE8e4aNw7Bmhq0//Wvlts20UqMLKcY09ZjlXpJquWaNB+afnQRbv6wJbo3ckmBiD2S+bRKHYZGXQtpvhQrlbyn4IUX0O2mmxDq3RstX30FODQ/x0pK7bXI5Zi2SmwkorWOmwq56xBXz7cLEASgJSCm1NBN9L5067tSSmW/mjqB3HVIdv0L585F0bx5AICO3/wGvttvz9jUEj0lzWHefPNNHHfccejTpw+A8BCa/v0PD68oLCzEU089haeeesq4VJIs+fkgqW2pkK5058qlMyQnfjsJ5RWotfb8pTtkx8hhR8LBgyhYsgRFM2cCxcUQ2trQcfPN8N19d9JeQca0tSS7z6Q9xC7JrgfSJ1SR2Nc6/SIydC7R3LIIpXjvfsopsH/1FdrnzpU9Z9au2mpxjGlSK9VyTZoPbT3oj47YCf/bdTKtNyBmtC4izZdiacp7WlvhOvlk2OvqEDjpJLSuWAHYNK+LnBbGtLVkemRqhJp532qfIqc7elQLvXclUrr+XfYar68HyrJkzruMpLnMFVdcgXXr1kVfjxw5Em+++aahiSLtEt3osas3jl++F+Nf26v7lk1aV5LXczXHREFdaINpK7XqvmKlxwPnH/+IHmVlKB04EPZ16+C78054vvsOn37yCXz3369qmA5jOrtI7++ywvhdD8okncGbmjoTblmYbDVXNYWmXLwXT58Ox+efo3XpUgTHj487pzQNpC/GNEnpvT2jNB+Q7oVcVoguHYZAeBs2o7eJjIjNl6RpUZv3FLz6KuyffYbA+PFoWb8erStXZrxBDjCmrSaV3ZKMjkGtDV29t0hMRO9diaTX/2/FX6Nk4ECUHnssgiNGwLN5M5rd7qxukAMqnpSXlJTg4MGD0dc7duxAa2uroYkygtZ5DGbMB07n/Il68WJ7x2LpNucK6c2Vc9kF+ILhrRhSSUei3nGtC+PoSY8VK4UDB1Dwj3/AsXo1Ct5+G/7/9//gP/tstD/6KMSq1IZO5UpMZ5KZ+YH0/u7bLT7Wxr+2F7taD48QCYjhfctHlDswptIZl+Z6jx8nLW+MPuGS61WXnm9fWwjbW/xx37e6pADPjS+LXpMb3tmL56+dgX5TpyJw2mnR92Xtqq1ZJldi2uxy12iZ/H7prLIuR5ovFEkWtOrbrQBvnFWGca81xv18d6uIXZK55uWOIvT5phELJ5RBFKHbNYmth8gNx03E/umncE2cCADwrlqlaQqYEXIlpjPJyPhK5Umy0TFY5wmi7C+7Zd8nR26LRKOkuyuR3N9y1eRK2OrqUDJqVPR9nu++g3jEEcZ9kQxL2ij/8Y9/jEceeQQ7duxASUkJAOD1119HXV2d4mcEQcDtt9+uXyp1oDU49A4mrVLZJklpS4VET5ITbWliJLVbMagR+90rujkhHppTbnYjIOXhQG1tKHj9dRS8+ioK/vWv8I+efhrtjz8OsW/ftNOVKzGdSWbmB8kKMaUFReW2LJy0Mr7CDHTNHxZOiK9YKw1BjVyT156/EVO+fA8/efE/WHXOcXHvscKqrfkgV2La7HLXaJn8fnpPHVG7oNUH51Vi2ho3Nh/ohC/YdXcob0CEN3B4mh0AQ66Jlryn4OWX0W3GDABA8/btQI8eaZ8/XbkS05lktfzDyBiUWzthUGni7RLltkg0Srq7Ekn/lr95ox5vvP8EnH/7GwCgddEiBA7tPJBLkjbKH330Udx000147rnn4Pf7IQgCXn/9dbz++uuKn7FixqA1OMyeC5nKNklKEj1JljtHpp9W6LW1m9x2ElmjowNFDz0Ex9tvw/b99xC8XrQ/8gg65s5F6Ic/1PVUuRLTmWRmfiAX27Exutsrnxa53nK5dEvfV11SgF7dbHHbHcl9rskXxMsv3IYpX76HS696BE2doS7voczIlZg2u9w1Wia/n5o5sFrKernK9KrJXfdGjrxvxKt7sKM1cZ6glK9kSsErr8Dxr3+h84or0LJuHUI/+lHGzp1MrsR0JmVyeLYaes9Dj41BuSfkyRaek9siUY4VRixF8oGe3gNovPdkAECwpgYtH3+c01usJm2UV1dXY/ny5RBFEW63G4MGDcLjjz+Oc889NxPp043W4DBrUYdUzx+/2Fn8Qm+zRrsw9d2D6AiKcNqA/t1t8EPAvrZQ3FOzyDky3dto1LW2QsaSUCgEx+rVKHz8cdjXr4cQCCAwbhxali2D2K+fYafNlZjOJDPzA7l4BCA7JSXC5RBw3+iuq/BKv4fLIcj2qrvsQsLXAHBG3aeY+tlbuOqy3+HV487CGM4XN02uxLTZ5a7RMvn91AwTTVbWp1OGHvB17U20AYhtpke+f6b/5kJjI0oPre7s+5//QfCkk0yZN55IrsR0JmVyeLYaRk7fksYSgKRTQBOlJzbWY9sGZo046GML4KalD+PX778EAHj+vBtw0V8fymgazKB6fwdBEFBeXo477rgDY8aMQUVFhZHp0p3W4DB7LqTW8yfqgZ+z0RsNsEAQ6FHowKrJlYpzrvTszVdTqOt5ra2Wschyu1H0+9+j8NlnETzmGIT69EHLp59CPPLIjCYj22M6k8zMD9TEo9MG+EOHh4p6AyJmb/TGPcmq9/jhC4ZQaAMgAENKHXjx9ArZwls6JF762vb55/ifX07CReXv4LPy/hjD+eKWkO0xbXa5a7RMfj81w0ST5S3pdNCXOER4YzZDKRAAf0w7PdIhuNMbiD40KLLLdybqSWhqijbIWz76CKGjjzb0fOnK9pjOpEwOz1bDyOlbC8eXYtpaT1zDvO7QVNSrVh/Amim9NaVHae0p4PBijRl5wBUI4IczZmDdp5+ivbAYv7vkdiw/d1rOlQVKNG+66PP5YLdnX++11uAwey6k1vNLe+DrPUH0/OtuFNkFlDrjM6ZIwat0Dj1789UU6npe60QZS0O78nZphhJF2L78EgVLlyJ44okITJgAsUcPeN97D8Hjjkv+eYNla0xnUir3qB57hwLy8dgRiO8jtwOQ3vVyFezNBw7HQJHDpliwtkjmnce+LrrrLhQuWICBGzfi+et+LPt5Mle2xrTZ5a7RMv39UslbYqnpEFQ6R0sgfos0v+TBea9u4fxn2hp33PoV0s5Evdg/+wzdf/pTdDz4IFrWrkVoxAjdz2GkbI3pTFI7PNvK1NYbLjyqBBceFV5roNei3YidPbb1YEBzIzrRwze3D3GLNRrygEsU0e2qq1BwaHpGx113ofP223GDIOAGfc9kaZrH68yfPx8nnngiTjnlFPzxj39EY2OjEekijWaNdsHlEGA/VAiGEF6F2RsQ0dAWX4FP1shOZesHJZmeI5jo+Ac6Eky8N0IoBGHPHrh+8hN0v+wyQBQRGjQIKCyE7447LNEgBxjTRol0ENV5gtjQeHhRI63vk4tH6ZNrubteuiWallhU2rak8P77UbhgAdoffBCho45S/DyZizFNQGp5Syw12xcpnUO6VaNU5FjSfGjz/k59t08LBuE64QS4Tj0V6OxE52WXZV2DHGBMq6Fn3dUsausNsfyScez+QzuwaDmGdAvBbvbD2wlLRxzoXY93rFqFkoEDUfD66xB79MCnH38M3x13KK9im8M0N8q/+eYb/P73v0dhYSHuuusuDBs2DJdccgmWLl0Kn8/kCRx5LDJEPQj5m1hLRhXpzd90YRVWTa5Ma5hKpvcpTnT8ZJUEPQj19Sh8/HG4TjoJzr/8BWLv3mh/9lm0bNkC3/33IzR4sPGJ0IgxbQy1jeBk75OLR+mTbLmoly4QpyUWZSs3fj+KnngCHffei84bb1T8LJmPMU1AanlLLDWNHKVz9O0mX29wCMDwkmD0WNJ8yBeCpsZEQm43Ch96CPavv0brokXw7N8PFOv/FD4TGNPJ6Vl3NUsqD7KSjQdQ1YiW1BcGlzqi11E64kCvenzRzJnoUVaG7pdcAt9vfoPm/fvh2b4dyOMRIZrHdpSXl+O6667Dddddh/r6erzyyitYvHgxrr32WpSUlGDKlCm45JJLcPLJJxuRXlKQKOi6OYSs3qs71fNJF7JTqiSkS/j+e8DhADo74Zo4Ef5zz0X73LkIjh0L2GwIHn+8IefVC2PaGGqngaQyXUT6maFlDnzdHEBsNuANxpeyWmJROsy2YNEiBE88Ec1NTeF7nSyNMU1A+lPR1Ay3VzpHJL+JbI0WMaqnE/OHuKMNpth8aXdrMO69qT6RE5qaUDp4MES7HS21tfDdc4/lFnLTijGdH1KJ2WEVjripad3sQFtM6Kg5hrS+EPta73q87YsvUBJznzbX1wNl2TeqwQiC2+3WZUzvpk2b8OSTT0a3a+jbty+mTp2Ka6+9Fn369NHjFKqFt8aqyeg5zRa713csG8ILQkTmnmhdTdXyK5jHkP7d5Ray0y3tLS1wvvoqCpYsgW3rVrQ/9RQC554LBAKmNFqMuOetFNPZSO39l+x90hicNdqFu9d78I0nAIjhBvkLp1Vg2pr49RTGVDo1dcYp3UPFv/gFnMuWoX3OHHTedJPsZ7Mpn7AKM8opxrR5zPh761EGxsa2yy5AEMJrTMRWzhOdQy4NnQ31stdCWo/RmofVe/xYf8sDmL7kKQDAN++sRdWPrT1UPd37IhdiOh/r7HJlZmdDPZxVR2qOWWmM3TfahdkbvV2OkaicTjf21ChYvBjdrrsOANB5+eXomD0bYs+eXa7JnpYO9Ckpyst6RNqN8tbWVrz++ut45ZVXsHbtWtjtdkycOBFOpxNvvfUW7HY7FixYgCkZ3OQ9HwM8EpR7WjpwMGCPe0IcG1xaAy8TgaoXw//ubjcKVq5EcPhwiD/4AYpuvx3+Cy5AYOJEoDADY+MT0PO7WzGm85k0Bl0OQTa+062Ay91DxTNmwPnyywjW1MD7ySeq02jlfMIqMllOMabNl631EqUOfyD1OFe6FunkYUJDA3657Ds89ruf46Xjz8Ht596WFflQqvdFLsV0tsZGOuTKzPlD3IZeh0TltJEPsWxbt6Jk7Njoa8/WrRD79tWUvnyR0iO9UCiE1atX45VXXsFbb72F1tZWjBw5Er/73e9w0UUX4YgjjgAANDY24pprrsE999yTFRlDNosMM6utrcWlW0rg9RweuxI7BEzrfJV0F2rLhSdowu7dKL7tNjg++ACB8eMRGjYMoSOOQPvzz5udNN0wpq1LGnNeyXzyZLsppMP58ssIVVUlbJDLpdHoBR0pOcY0xUq1LE4Uy3rHeUp5WCAA1/jxsG/diqppf0Df2f+OLhCVa/kQYzp3fN/mT/jaCInKaSPqD8LOnSi67z44ly4FALQuW4bAqaemlL58oblRfuedd2LZsmVobGxE7969ce2112Lq1Kk4Wmavx8rKSlxxxRW4/vrrdUksqZNoTorW+SrpzklLZ59TIyWsoLS3w/HOOyhYtgz+Cy9E4PTT4T/3XLT98Y9Ajx7mJtwAjGlzad22SMqIxROL7r0XzmefRbNb3UJLem6jSOljTJOU1rI4ki/tbs1s3qOF7auvUDJuHACg7S9/wYcFJwExT9rMTp+eGNO5xe2Tf23kg6xMldPCzp0oHT4cABCqqEDLunUI/ehHlkmflWlulL/wwgs4++yzMXXqVJx66qmwJVk844QTTsD8+fNTTmC2ipuH5RAAMbxwQiaeFidalEHrgg3pLvBg1Z4vaQVlxr/24c3/VwHb99/DddppCI4Ygc4LLwwv1lZcDP/PfmZyio3DmDZXssrywgllGLNsX9wCSIU2oJ/LrhiT6RTshQ89hMKnn4aoYTuSSD7R0BbAAZ+I79v8mLSyMStHxuQCxnTu0xrjWsvi2HwJCOc5Q3o4ZOeUZ9yhqWQIhdB47S9x7oRbsM8PuAIhjKxwmJ8+AzCmjWHWaM6KIgFerxj3GjD2QZYeC7YlvF6dnSicNw9Fjz4KAOiYNQu+W2/VnL7YOeX5RnOj/JtvvkFJSYnq91dXV6O6ulrrabKetECLMOpp8eEFEorQp8QdFyj1nnAFOZVMJ90hLVbt+WryBWELBTHhu08wddNbuOjLd+F45gkEzj0XLevXQ6yqMjuJGcOYNkaywj7y+01N8fmE3LZFIyuccfnJyCMSz7VKtWB3zp+Poj/8AQDgOXgw+ZeMSeOqyZWYtLIRO1o74Q0Au1o7LTMyJt8wpnOfUowr5Ttay2LpcNrKYgFrz+ut/xfRqOiuu1C4YAFC1dVoWb8ekytausxDXTMl9/IcxrQxpHF03OJ9sAlAkV3AKxPLMa6PMVvoVRU7sMPbGfcaMPZBlh5D1GXznYklKBk2DLYDBxCqqkLrCy+EFz5OMX3hNQb6p5XObKW5Ua4lU8hnieaHpBNkSgXu4UCxYWdHfGXYzCHkSj1zps01D4Vg37ABw7zd4Gjy4A8rHsXLo36Kqx9cjhfPGwkAedUgBxjTRkkUd/UeP05a3thlfjggX1mWxtGs0a6EHW1qC/bYOOwecmJ5/0GoLitDS319St/ZqiNj8g1jOvcpxZpSvqPmKVlsfvB9a3zeJB1um656jx9XrT7QZRcJxXpASwtKhg+Hze2Gb8YMdMydCwBo8sVPscnVPIcxbQzp/RICEBLDa7dc+u5B7LrSmEa5XDx2NrjhssePUCuAmPJDtWRSqYfHXS9RxO3PzkSPK14DAHT89rfwzZypS9ryVdJG+TnnnKP5oIIgYMWKFSklKFckKsDSeVqsVOAmWjTCzIqyUs9cpjsKhL17UfjMMyhYtgxiSQmemD0Xlx1xDC6ZvTTnhrklw5hOnZZCLFHcTV/r7tIgdwjhPXzl7kVpHMWuUioXP2qfikXicPqHr+JP/5iN057bhGUpNsi1nJf0xZjOP0qxJs13GtoCcZX6ZZOOUMyzlEb4AYeH1+pl+lo3thw8vLfy5gMB+XpAIIDChx5CcNQo+G6/Hf6pUyFWVER/nat5DmM6MxKt2dIR1L45ldo6glzduLYhukZh1M7WEL7xGFNXTqUeHrleN7z/Nzy2/PdwBgPwn3IK2pYt65p40ixpozwUCkGQXOjdu3ejvr4ePXr0iA6P2b59O5qbmzFw4ED069fPmNRmEel8EacN+EGCOaBqKVX0lRaNANIrtBJlMOk87c5ER4Ft2zYULFmCwE9/ilD//hALC9H66qsIDRuGngBWpXHsbF5VnjGdOi2FWKK4k7vfR/VUv/1Hovip9/jhC4ZQaAMgAENKHYp5TpMviJ9vWIY//WM2AODDjkJsb/En3dNUiR5z1kg7xnT20xpvSrEmzXcO+ETsaFWXZyUqhyPDa/Uid66G9kDca/dLr6L6xukAgMvmrsSdV57Z5Zrkap7DmM6M2Pun3hNEKOZ3RXbtjcx0Hzi1SDrrO0Pxv9+8vxOjljSkVO+U5jHSh3lq6uH/XHwnyl9bAgCYd/X9OGv2DFT3SLwlcDbXlzMtaS77xhtvxL3+6KOPcNlll+GZZ57B1KlTYbeHK5rBYBB///vfMWvWLD2KAVYAACAASURBVDz77LPGpDaLSOeLHJtkDiig7sZVqugrLRoBALNGuzD13YPoCIooEACPP6g6qK9afSDam12HIK7814HovLJ0Mh/DerdFEbbaWnS7+moIHg/855+PUEUFxMpK+O65R59zwLqryqvBmE6dms6kSBzvag0gshRPN4eA+0a7ou+R3v8uh6CpMpkofqavdWPzgcOV2yKHTTHGhzd/j7++HI4L4fGvgCAwZuk+DClzoNYdQPuhCoHae9yIbVUoOcZ09tNapogKD/FiGxkuu4Cvm+Mbuokq3nL5Uq9uNkMau3JPKHd5Q9G6yZJdK1B952/wed8hOP7WVxG0O/D6a41x6akuKcjZPIcxnRmx988He9px6aG6cmROuZx1e9qjdWrp3PN0HzhJ48JpAwIxh/CFgDpPMKV6pzSPcTniOx0S1cPt778PV8zojeadO3G9yikV0vOOk4ljCku8fKOMe++9F1dccQUuv/zyaKYAAHa7HVdeeSUuv/xy/Pa3v9U1kdlo4YQyjKl0YlCpHWMq5YekSl21+gA2NHaizhPEhsZOXPmvAwmPO6LCgY5AuBA70BFfQsf2as/Z6IU3ICIgAu0h4Gt3MHqOaWsSb3n0jSeg+DqdzCeV66NE2LkTzqefxtFXXQXHG28g9IMfoP2xx9CyZQs6HngA4pFHpnxsJbk0d5YxrZ600JIrxCIF0PdtofD8NITnp83e6I2+R3r/f3BeZZeFGUctacCklY3Y3tJ1fQq5+Il8LtnCcRHCgQOYc9GP8Ohpvwg3yA/xhYAtBw43yJMdh6yHMZ19Ul0dXVqWRxoZmy6sQpHD1uVJW6KK98IJZRhZ4UChDSi0A4NKwsPdV02uhCgiab6kxcIJZZBWxUMApv/t9/jjHefgzmANTnh0LY6buRRBe7g+4w2IqusuuYYxbbx+3R0YVl6AASV2DCsvwA9c8s8tp757MFqnjsw9j5DG1762kKaYkZbt/bsrN9O0lsnS91cUCUnr4c7nn0ePsjK4zjkHvunT0VxfH94qVcMaB9Lz5nMcJ6N5PNJXX32FSy65RPH3AwYMwPPPP59WonJBKr23iRrAcseNnVcKhHu1yx3BLlsJJArcpEEt7Y2PeZ3O0+50e7eFvXshFhfDVleH7hdcgMA552DHr36FqrPOAux2BE84IeVjq5FL89gY0+qpGSqpFFOxP090/6t5Yib3eWl+ECF3bzreeQfdL74YP7zzTky75u64vX2VZPM9nm8Y09lHa5miphEv/VmhDQk7wKtLClBot8F3qCG/5eDhed56jw6rLinAcZWHd5X40ff/wRd/OB8AcMfkW/BR1Q/D10Ahb8q3TkLGtPHU3uPSueaxr2PrCPvaQvAGRHg1PNmWlu2jljQovldrmSzNY6qKHYrpsW3bhpITT4y+9mzbBrFPH03nUzpvrHyL42Q0PymvqqrCsmXLEAh0bTAGAgEsXboUVXm2erVuEjSA5Uhv5l7dbFh6fAdWTa6MGw6SKHCTBfXQMofi63Sedqt5GthFczMKFi1C93PPRcmYMbB/9hlCI0ag5euv0f7kk2j58Y8Be2YaDno+6ddLStcUjGktYp9CSeMsQimm9rWFVP1NklW2lf7O0vc5BMjem/Y1a9D94osBAL4774zey05BOcPROryezMWYzj5ayxRpPrO7Ndgl35e+p8CWfI6sUv5jxOiwhRPK8JMjHDheaI42yCsfeB+/P/26aKdn5JpoGWqbixjTxlN7jzttyq9j6wi9usW/MZWYkd7nNoTLdpdkSpwaavIY27ffotsll0Qb5N5Vq9DsdqfcIJeeN9/jOBnNT8p//etf45ZbbsHEiRPx85//HIMGDQIAfPfdd1i0aBG++OILPHpo43jSZmiZI24uqLRBLCXtfdrXFsIFnxahfOteQAS8QRE9C+2YfnQRth70R+eUH1lqhy8EVfPEXjitQvHJYDpPu1X3uns8KHjzTQROPBFCezsc770H33XXIXDGGUDxoa0qnM6U0pAOK85jS/VJBmNaHbWLlSycUIarVh/ANncgbuioNyBqWt009nUspb+z9HNKC8e5pkwBAGze0YjpMasyPzXMhz/vK0WTL4gShwAxJg/hvK/swpjOPtIyJdL5ppTfRJ7Ibd7fCV8I8AURHQ4aOc7CCWUY99rhrRe9ATHpfE6l/MeI0WFHrX4TH//852ifMwdbN32FX2x1otQXxKCYtEW+y/YWf5e6SD4tIMWYNl6iezz2XvNL2ta9i7QfTy25J++RLdtmb/Ri1eTEW7apjRFh+3aUjhwZfe3ZsgXigAGa0ysnWRzTYZob5VdffTVsNhsefPBB3HrrrdHVIUVRRM+ePfH444/j5z//ue4JzQbpFhCJGsByZIfJBGzY2XG4YV+HILYe9EcL5YAIlBTY8ZHKBmWixqeRq6/bvvsORffdB8fatQiMHYvg8OEIHXMM2v/6V1XHz0epPslgTKujttMjMgRUOpcTUPc3STZEXunvnOxze9d9igc/82L37/4Jb/9B8L13INoJWIcgvtxfiCpX7ldu8wFjOvsly28iZfOoJQ2o8xzOE6TTZHp1s8Eb8/tkw2mV8hE9VzkXOjrQoyz8+eCwYei84Qb0s9uxalDX90rrGbFbukm3hhz3WmPc+hy5hDFtvET3eKLtAr/v0H48tWLr4KOWNMTFslJ9IjZmIm0DQGGRNUcARQ8/jMInnwQAtD/2GDqvuUZzOlP5PtRVSntcXHXVVbjsssuwadMm7Nq1CwDQv39/HHfccXA49N02w2hqGpZqG5/pzrlSWk1VSaJgjSWd/6LXHA49V1/vYwvA8eabKFi6FJ2//CVC1dXwn3km2p55BihjT5oa6fTK5lJMG0VLp4fS76R/E6W8JVEcyY2QUdpNIXL8ytovsXL2+XgBh1ZZb/KHt0yL0RYSUl7VlayHMZ3d5PIbufwiWb6vdT6nUv6j9HOtnfMFS5ag6pNPAAAt//43Qscem/BYieoZcgtI5XLexZjWh9I9m6jsTVhvVqi7690AVVvHS9SBEOmU29fhwYj+NQCA4JAh8K5ejeCoUZrSk08jVTIl5Sh2OBwYM2YMxowZo2d6Mk5Nw1Jt41Op0p6JRr0rwX6KRXYh2lMG6DeHI93V169f3YQmXxDj9nyNhfdfBxwzDP4LL0Ro8GCI5eXwX3GFLunMF+n2yuZKTBtFS6eH9L2FdmBkRdc5XKnEfKKFZMYs2xc9T3VJAaavdaPli61YPy88X9P26BfR44QSdAJy8ZXcwJjOXnL5jVx+kSzfl8svYo+ZTLL6i1IeJv3cC332YsjpJwEAvluyBK6HH+5yLrljJapnyHU45HrexZhOXyrlbqLOLaWppqk0WhN9Rm0dL1EMCKEQFr56H65dvxQA0HHbbSlvF5zNWwNbVUqNcr/fj0WLFmHVqlXYsWMHgPDKj2eeeSauvPJKFBRkT09JKiuYJnoKJldpT7dRr4YgaZN3swNV3e3oWWjHfaNdmL3Rq/scjpSezAaDsH/0EYYsXYp1K1ag7fnnETxnHNou+gBiv366pCtfpdMrm0sxbRQtnR5y75UrjFOJ+UQjZKTzSpt8QWx75EIAgP3RLRBthx+PF9jQZW5cBBdfyX6M6ewml4ecv2p/3HuafMGk+X668zmT1V+U8rDI52yhIL6eOQoFofBUGc8XX8DXIT/eV+5YieoZ0jnz0t/nGsa0PlIpd2Pj0WUXIAhAS0BMGEepNFoTfUZtHU8aMy6HgF7FAmb++X5c/+ErAICnT7oMMy/5LfZelXq9O5e2BrYKzY1yt9uNc889F1988QV69eoVXWxi8+bNeOedd7Bo0SIsX74cZUmGHD/22GN4/fXX8e2338LpdOL444/Hfffdh2HDhkXfI4oiHn74YSxatAhutxujR4/GI488gqOPPlprshWpaViqbXwqVdrV3rjSp92Jnn5LtQTiH3u1B4EdLeGecQCaGmtKPXXSn8cuIFdkT7ASpCjCvnEjgoMHw75lC4p/+1v4L7gA3nffje4hrqZBzqEyxsi1mDaKlk6PVAvPnoX26H3e0BbAAZ+IskKgb7cCVYsyRXy+vxPff/Ut/n33hSj8w+fhHwoCbAD6dhfQt1sBGtoD2OE9PPHdKYj4QYkjLu9at6cdU989GI3xVyaWY1yfxAvLkPkY09kvkodE8oPzV+2PlucRWhug1SUFeG58WbQcjTxpl5vyEilnv2+L3zFiU1MnJq1sjH5OqX7U5Avigs2r8PcXb0dBKIAnJ1yJv0+bhYVlZUBDvez55L5fos7Q6pICfHBepeqOhmyuQ+gV0wDjWssUsIhUHnpsb+lM+FpOKg1d6X0d+yDOZRfw6DO/wsRPVwEAZp7zGzx6ytUQbTYMUdgDXW2cGLH4Y77TvCXa7NmzsW3bNsyfPx/btm3DW2+9hbfeegtff/01FixYgG3btmHOnDlJj7Nu3Tpce+21ePvtt7FixQo4HA6cd955OHjwYPQ9Tz75JObPn4958+Zh9erVqKysxPnnn4+WlhatyVakZosAtVuVKG2XJDfHS06nZFK5X8Mkc+kxRYQXdfMGRFz67kH5DymI9NTVeYLRp25yP7/5wxZ4A2L0PLM3euOOI+zahcLZs1EyciSKZ8yArb4ewZNPhvf99+G75ZZogzzddFF6ci2ms4lc3hK5z3e0hoea7moVFe/3yOel3XeVBxpw9Ljj0X/vdpTYER1KE0K4gb9qciWqiuP7ZIe4Ql3yrqnvHoyLca15SSpS3dqPDmNM547Ycs8bEOFyCGltxZmsHJX+3u2L/3xARNznZOtHbje+u3Yolvz1FqyvHgH7o1tw83l3Jj2f3PdLtg2lmm0q1X53wLr5j14xDTCupVt0eQOiIfXKxo7Er+WobS/Ekt7X4VXZK7G573/x8S+PjTbIi36/CY+cdk10xFyRQ74JqLauncrWwFaNL6vQ/KT8zTffxLRp03DZZZfF/VwQBEydOhVbtmzBkiVL8NhjjyU8ztKlS+Ne/+lPf8KAAQPw8ccf46yzzoIoiliwYAFuvvlmTDm0hc+CBQtQU1ODxYsX4xe/+IXWpMtS0/uV7mINaoe9/leyUFudwsJtic6xp6UDOzviA609qG0FOaWeOmmPufS4Tb4gbN98E16s7Wc/g3BoiFrr3/6G0I9+1HWMvUYcKmOMXIvpbCHtjZ412oVpa9zY1CTfm55oUaYR/9gTferd29OIXbNPBwA0NzSg8g03WmRWbJXmS3cPaO5yfOkikdLXRuA8tfQxpnOHNO57dbNh04Wp70ctPd73bfFbr0nL+YoiAcOKC7CpqROxA/Iix5E+O+j1xCPo8eg8AMA19/8DL5YNi1u/Ilk5nu73S0RNHcKq+Y9eMQ0wrlNZ0TwVgoC4ReDUVIFnjXbFjU5TGoEaW3/Y3Rqf5ouWPoseVzwOAPjjWdNwyynXo8PZdd826QjbCLV17VTaRlaNL6vQ/KS8ubkZAwcOVPz9wIED0dzctXKXjNfrRSgUig692b59O/bu3YvTTjst+p7i4mKMHTsW69ev13x8M6nuyZUGrIY2bOQcS4/v6PJH1bqqu1JPnbTHPPa4o3d8ibdmn4fu550HweMB7HaEhg6F7777EBo+PO0GeaJ0UXoY0+aQ9kZPffcgNjTGV3xjJbrfY596H9W0EwAw/vktQFGRYtxI86V+xV1PXCSZQiN9bQR2vqWPMZ079C73pJ93+5DwyXhVsSO89VpPp+xxIvlY782fYv0VNah6dB78Z5+NZrcbj998huLn1L7Wk5pzWTX/MSqmgfyOayPvv2JJeSl9LWfORm/CEagRsfWHyC165P5dEG85BjOXhhvknro6/OXy22Ub5IDydzXymlg1vqxC85PyQYMG4c0338R1110X3ScxQhRFvPHGG9G5LlrceeedGD58eHRFyb179wIAKivje1AqKyuxZ88exePU1tbG/ZtNqgsL8Z82e8zrYErfo8IRQlPAFvc6cpxd7QJm/ccJt19AWYGIB37Y2aUyfvcAAbM6nDh46D13D2hGba0bJfYieA8dt5+7Ab/44p+45LO38NuL70LzgH7Yd9ut8PxkJGCzAR0dgM5/A6V0xcrGv7tetHz3mpqa6P+zJaZzzZ6WIsT2i7YHQojtibMd6mIXADhtwDW9PF3u94i7Bwh4aF8HNtx6Eo6fuRhDn9uCeTWdqK2tVRU3EdJr/cgQG27dVghfKJyGR4Z0GP736C4WArDHvO7M2XtAz++VTTEN5G5cJ5LKd9YSv6kcr6lTiJbrAOALhuA8dMscWRyKnk8pHXubC/Dpo5dh9K6tAIBjf78G/3tqt2j5L/e52Guh9/fT8t3lzmVG/qN0/EzENGCNstqs/MDI+y+V8nOnpwOx9YKdHvnPxNYfxmzfgtf+/Cv08TShtt9g1D/yCMoH9wP274/7fsU2EYIAtAUTf1cjr4na+MrV8iE2puVobpRfd911+M1vfoMLL7wQ119/PQYPHgwgfAH/9Kc/Ye3ataqGz8S6++678fHHH+Of//wn7Pb0emRqampQW1ub9IsnY8aCIP+o6royqtZz1tbWYlB5EZpi9igcVF6Empr+AIAbVjbii0OLTezsAH63o0eXoSM1ANaO6HrsERu+RlOgEKfVrsffX7oda0dPxMJLbsXXR41EsbMANwp90PKlaNj1UkpXhB5/9//P3pnHN1Gnf/yTuzcBWgpIQYUCghxSxIOVLqJ1WS8Ed8WfoqKC4gEeIIIKcriIuIrrsroWr0V3RaWCFhREEBAQFBXwwmItlxQKbWjTNs35+yMknZnMTCaTSWaSPO/Xy5dMMpn5zvT7eZ7nez3fRCWaZ08ETScjnfbV4JCjVafpRj0ri3AG47jZC0z5KQ0D2pt5EzO98Mkh7HzIv93QG7cOREGX3OD34XQTgK8OFQIYK2HnHSXt5VsK2MFEIJb2SuuaBpJX10LI/XuL6VeO7pjXq6p34Q+rasCcY+vytTb4rJnp+GP/roLl0O/ejap7iwEAd94wB69eeD2G5JlRWNgaU/D9jvkupNonJZByL6n2RymbJ7VexELTgDZ8tZqxWyzrX6T+82iDA8da2HNdGzwG3nfTaV8NjId/ReVTfwp+Vl9RgQ55eWji1M1lV0RWN5V4J0L6kKKvVI7lI26U33777Th58iSeffZZfP7558HPfT4fzGYzZs6cidtuu03y9WbMmIGysjJ89NFHOJOR+Cs/Px8AUFNTg4KCguDnNTU16NChQ6TFjhg11j1Eu3Y9gNga9uomN+vc6mY39+dsbDaYPvoIprIyrP76a9z+yH+wc9DFuOaibbDrTdhd6wYaATS2XofWiSQWqaJprcHVKXfrwt+bXLAz5NniZW93FmDSxhPYNnEQAKD9/K1wbnSiQ4Z4JlmlUdJeKmUHUxnSdGoQre4mbraxOgI5S2BR3eRmrTcP2pP6erTp6m+sN1xSjD+PX4LffUYMUXDLVbWQan/iHSMqrWmAdK0VWutS6IribBPPejabDWvWzEX7/y4DADx232LcMP2moK/XwrptoTKQfxdH1j7l06ZNw+23347PP/8chw751y8WFBRg+PDhaNeuneTrTJ8+HR988AE++ugj9OzZk/Vdt27dkJ+fj40bN2LQIH/A6XA4sH37dskZJqUg1Jsj1niN1Si6UtcVq/S1LWyB1zp4BG+3w/Txx3BdfjkMe/bAtG4dnLfeCvfbb+MfGRnB0watqBYsA60TSSySSdOJAnd7ojm77CzNl5TX4HBjaNI3lra8XhxzAQetHXH+Q8tRm2kF3D7Y6z1BR/jKMCtu2VCLffVuwAf0thrxn0vbidqWSG0RrRPTHqTp5Cca3VXVu7D7JNu+mPX+zr8AtS0+HGxkB9ZfvPMgTOXlAAD7unXwDhmCcpnlT8QtFwO2kZuQMx42TylNA6TreCDVj4rVnQZX68wVXW0tck4vUWg58yyMfXoNvso7G7kWA24Qud7uk86wW77JQez5KCaQh6xGOQB8//332LVrFw4ePAgAOH78OHJzc1FcXCzp91OnTsXy5cvx1ltvwWq1BtewZGZmIisrCzqdDpMmTcJzzz2HwsJC9OjRA88++ywyMzNx/fXXyy12CEK9OWKN11j1QsWjd8tqAWv0zWpp/bf+hx+Q9swzMG7cCPeFF8JTVATPsGFoGjaM91pCeyQHviMSi2TRdCIhpvnASPruWieY/iyoLacTbTp0wKYOBSiY/Rnv9U+0eDBxsw176lpFv7vWHda2RGqLaL9SbUKaTm6i0d3EzTZWAxzwd9hZDHre2TodGk5gx4P+euO6/HI0vfde1OUPbLkItG65eHicthvlTNvIJF42L1pNA6TreCHVj4rF0lYLAKcTabNnw/LSSwAAx4MPorjoHv+1GR3wgWtzr9fi9e/mpHS7Quz5KCaQR8SN8sbGRtx+++349NNP4fP5gtkaV69ejZdffhkjRozA66+/jqws/jT+AZYuXQoAwe0WAkyfPh0zZswAAEyZMgXNzc2YNm0abDYbioqKUFZWhuzs7EiLLYhQb45Y4zVWPUDx6FnqnGEKjr6Z3E78Zd9XSJ+4Ho6ZMwGzGa5LL0Xz88/DJ6HXlTn9Nsugg07n32JBbNs3raNGLgG1STZNJxJimg/MeOGOJs0uygLcbrQ5PY2wYdUqDPnVjBMtHhxv8rKmo+ZaDLx2JJxtidQWSd32kYgPpOnUIBrdcTVtMSBkBk1JeQ2ONDhwYN7lKLBVY825wzHvtifh7dgZpQ2uqH2jGlsuRgv3vRl1wKBceXvGR4JSmgZI1/FCqh9lbmlc5zYEfbje68G7L96LNhO3wJeWBsfs2Wh58EH/tTgzVZnXZtqFI40eVqe+UBnkxL5iz0cxgTwibpQ//vjjWLduHaZNm4a77747OGWmtrYWL730Ep599lk88cQTeP7550WvY7OFz+Sn0+kwY8aMoJGIBUK9OczGa+A43G9iVRYlKR2ahQlfNKD3N5vxQuk0mM4phOcv18NntcJntcIbQXIF5jT5gKAb3NqZoiLHyGhhLU68STZNJxJSNB/YIgVo3SJlx81+nTZ8+y2c7bsAv/rfffccA3w+wO7xBfc+H7u+jve+0ZaLCa0T0xak6eRDyJ/J1R1X4wPamUP8Y1lVGc54fDoAYPGI2/HgVQ/7v+DJbRHJMxxtSEOnfTUw6cDaAjIeWy5GC/e9Dco1x8X2KaVpgHQdL6T60YCOKyoqYO54JiZ8XodZ/5iCK7/6GADgeOQRtMyYgaoGNyaezvFwvIk9zYV5baZdKCmvYc3sECrDLRtqgzPqKuHBuM9qsXlUvuzno5hAHjqbzRZR1+SZZ56JUaNGYfHixbzfT5kyBatWrUJVVZUS5ZNFJJn7DjTwZwIU+lzsN9GixHV5n93rhWHHDpjKymBatQqNK1fC16kT0NgIX5cuUZcbCBX+kLz4OComFRUVMOWfGQxcuKOGzDIJBTiDVlSjsr7VyJydY8A3YzrG9TnkEE22ykTQdLLArXfc5G58mmfWSZ3Xiz+2/I4Pz/PCl5sLb2GhqPa43wFAhgF47/J2IWs3mXUoVjaOaCWWGWZJ09oj2r+3FB8bSUe0qMYbGpD++OMwv/kmAODUsWMYVF4XkW/kK8uETeyp3+dYDThk9ybUmnKlbaPUepHMmk7WbNuR1pWKigqcc+gQ0idMgP7kSfgsFtQfOQIY/eOnw1Ydw57a1im8GQagY6ZB9NpSy9DhzSNwMtr5Zj1w/NYzFH0+qSRrfZBCxCPlXq8X/fr1E/y+X79+WLlyZVSFiidCvTlivTyx6gGK5rrcHujSYW1w9q8/wNO3L0wffQTL3/8O1+jRaPzkE3hPJ4qoMmQFe92iFZTQNJZ4TwcXWu/FLaPQiHgqroNJNk1rGW69m7PLzkr2NmGTLUQjwTrp88H7sP/vdIox0iE2hYxvqlqTB5ixox6bRwkHv3JsUSou/dAqpOnkQ8pU2Ehmeglp3PLss0ibPx8AcNXCdViffgbwzglwB7HD+Ua+kTc7Z3p6ixc4PK6z6HW0hlojgKTpxIM7m1SsAZv22GMYvGQJAKD5ySfhvO++YGM8wD4bOwG1x4ewg0ZSy+Di5JdwehE2ORyNhitPaP79MJSUlGDt2rWC369duxYlJSVRFYqInIAzNhz5HVe/uQhtBw9G+h13QH/oEFzXXQf7tm1omTo12CAH/E5zZ40TlfUe7KxxYtxntRHds6rehZLyGgxaUS04lSZQrsA9JmwKP20qGsTWvjKDCKEAp7TYiiF5ZpydY8CQvNivE9MCpOnYwNRHSXkNDjS4eOtdOI2UFlsxJNcE30PnAgAqyj+VpD3uv5nsqw+zFaIM4q11QhjSdPLB1fKRRk/QrgSIJi+N/tdf0cZqRdr8+XCNHIkLlv2C1eYz0OLxN56bPP6AsUumTpJv5NqYffXukGdIhU5vpSBNJwZ8fh8Q9o/6H35AG6sVltMN8sv+/TUq7rg3pEEOwL9nodhxGMR8tImnNUi+PP6EbZTX1NSw/ps2bRqOHDmCG264AevXr0dlZSUqKyvx6aef4q9//SuOHj2KqVOnxqPsxGn0+/dj7PsvIqe5AQW2apjdLtx79/Ow79oFb/fugL71z8w0GHvrQp1mJDAFbnf7kGXUhTRm470tAtfJ85WJ77zAcaDn75sxHYN7KiYbyaJpIeenFfgcIF+9C6eRbtkmbFk3DwBgX7sWHf5wviTtAa2dTCHEIJ8SbYGiHsmiaUKYgJYtp915iwchAbOsRq/Xi/RJk5BdVAQAaNi5E03/+x9OOL2hp8KfX0fINzJtspMrf1/rMxSkeVOm01supOnERKjhy/WHRVvXoI3ViuyhQ/Hx0GuRP3cTdM//gM+a0gUbwb1yjKLH4fi9ySV43LuN8LXIl8ePsH/Rnj17Qqdjd8f4fD78+OOP+PTTT0M+B4CLL74YJ0+eVLCYiU2spnUatmxBGZXVbgAAIABJREFU+uOPQ1ddjc4DSpDmbsGW7oOxpftgfyB++u/GvD93nTULX2Tl5Qq1Q4Y+ZCpNvKeD82V85Ct7KmeGTBZNaz0pX3UTu5PrcKMbeWl6f1Ct8zvU0mJryAyVLM480bQnnkDzP/4Bx5w5wV0RpGgPaO1kKl51DLsZa9F6W2XvhilIKi790ArJomlCmICWuXlPmHsQ8+WoCMD167OKsrDutTV4YdEdAIDKt95F+6taR1qFtmkSC9DFlo/1thpZCa0KCwsifgepBGk6dgjFuErE6kKd0wE99T72K356+prg9/U//ID7vjTgOEPTzGswy5Rt1KF/W2MwkWukcautRfh42Yh2wZiYbxcXIj6EjcweeeSREMNARIZSjQdddTVMK1fCVFaGpldfha9LFzTPmwfP0KHIOu5E0/o6GNxepBv1/m2TeO4vRiBQl5qFUUoQHu/Gr9Q1Lqm8FiZZNK31kdnaFnbnV3WTF78zppqnGfXolm0C90+xv96NA6e3G2pzetublilT4MvNDTroI3b2s4Zzmv+5tF3MdZjKHV1qkyyaJsIjtgfxnF12Qb/GjAOOOu248uZCXAngcJt89HjsYwxANtYxzg90GO6tc7Mm1mQZdCgRyEXDt83aGYxEVEwoB4U4pOnYIRSTKxGrZxnZf7PqRg8GrahG9/pjWL18Ef78ZTkA4Lc3/4t21/4ZAJBrqRGMpbnx+5A8MzaPkhe7tkvTwW73sY4DMGNivgRuRHwI2yin7RBCidSZRNN40NXVwWe1wvT++0ifOhWukSPRMm0afB07wmcyAWedBYC5bZIuuG3SuqvSw97PogPOyGY7Tb61YHxICcIjSXRBxIdk0bTWR2atFsDOkA53MmhAlw2cmStNHmDCJltw27PG//4Xv5nbYGJ5DXbXOll7jloM/q2MSoutonZJiU6ocHYvlTu61CZZNE2ER84exMzvnlq9GDPXlwIAbhz3DN4ZdGXwe67Gl43wz8xh+u0Wj1ew4cK3zZqUTgLmdQJlqG5yo7bFB6vFP2U+1eIF0nTsEIrJpcbqor6QMxHVevIYfp18KQDAlmlFw6ZN8A4YgHaMc5j7lHfKTmPF0koOPnRMN+Kg3ck65oPrywPLUrQYuydb557ycxhTgEh70yJuPJw6BdOaNTCVlcG4YwcatmyBa+RIuK6+GkhL4/2JmHCFpqEBgEHPk72RO7tdYLZ7pEG41qcbE4mF1kdmO2eYcLhReIZKwA7w6dNXcxwA0PjGG3D/+c+YyLO1GeAfheLb/iwW+iL9EoT6yNmDGAAGn/gNv04fCQB4fcgo3D52PpjTdHItBkGNM3U+aEU167rMWCMSmywUs3BHBu1u4HCjvH3RCYIPoZhcaqwu5gsDOwwYPS48se5lzFr3MgBg1p/uxTMj78GxAaHbjIkt61By8EFuzKRl36/lssmBGuUyiLTnSpIQGhthWrcOrquvhmntWpg++giusWPR9PrrQFZW6PkcxITLvD9zLRoA8ORyQW+rMSbrTxXphYwBydbTlipoYWRWrO6UFlsxpOw4Whgas+iBM7LYM1NKi60YurImuIbL9XB/3DtzWXDbs6p6F3bX8jfupewooBRaXy5AEFqCaxtmdtVB6Z13JcUWPh/SJ03C8nfeAQCcNXs9qqydgl8bdcCgXP9sm+vWsdcj82lcLNaIZIRN6DpCdoXsDcFFbuwmpBupjVYxX9hJ78bncy5Dga0ax7LaY+y4RVg+yD9N3SJjNYKSgw9iMZPYu9Sy79dy2eRAjXIZRNpzJSYEw7ffwvzPf8L06adwn38+3BddBNdf/4qKP13nF8haO3ItzbzGhimiLIMOA9oZUdvkDJn+wrx/l2W/sxI4pHE3H0Xs1p8q0QsZC5Ktp42IH2J1p1u2CQPam1mjPgPah07n7JZtwtZReawp64+1b03+NnGzDVw/Y9H7r8XdUYCpryN2/5ZJSnUyRdtjT51fRCrBtQ2zHGZs7q/sPcJ1TBq+/BJps2bB8PXXaJ43D87770eH8hpUMWzSoFyz4PTz403ekL2KI2kkiNlHoesIzexTankS2aHkQW7sJqQbqR39vL7Q50P65Mn4YtkyAMAL19yLGSPuQTOjU17vC7/3t9wyRYvYu4zlUkE+PUaC1pcxRgo1ymUQVc+VywXjpk0wrVyJ5r/9DXC54Bk6FI6FC+HLzQ2eJsXYcKd5ZRl1aBvmL7r8sra4YX0dHB4fTDqgS5Y+xEjEyggo0QsZC5Ktp42IH+Hqjlid5zqjQIO8eeFCtBl/s+A1LXpg5+gOIQ49cK/AuvMWb+uWSUroOZJn4Qs4qPOL0BqxbKBxdVvnii5pV0RlbWxE2uzZML/1FtwjRqD+2DHA1DqDR0jHzO8CGZjtp5PIBfQaSXwgZh+FrhMoQ3WzG7UO9ppyJSA7lDzEM3bjGwRrcPuzoK84tAo5nR6HzuGA+8IL0bhmDW7T6zGckTAtoKdKjp60gti7FLIZSthPPj0u6SX991pfxhgp1CiXAF/Fi0hMPh+g08G4ciUsDz2Mn9oVYOXgP2PD2pN44U/noduQISH34WZX5jM23M/sbh/sbj0OOYQD8aGd0nF4nD8BXKzXoHKJqhcyhiRbTxsRP8LVHbE6z3VGANA8Zw6cd90leg/ogHEbagEfWFujCG2ZFC5QCdidow1p6LRPeGQ9kmfhsyXU+UVojVg20Li6tZoEkrNIRGpZDV98gayrrgIA1O/eDV+3bqzvxXTcLduEV4ZZMXGzDQcbotcr38j7F0ebMWO3BY17+EcMYz0ySHYoeYhn7MY3CPb6O4/h+q0fAACaFy2C8447AL0+eA6zLg9aUQ07wy9XN7lDlnbwEa+ZHZEsSwmghP2MVo9aWMaoJPrwpxCBildZ7wmOPIXF54Phq6+Q9uijyO7bF7pjx+A5/3xc//h76H/v25h1wU343G5mXYt5nxbOWm8+YyNmgKRUbK06p9JiK4bkmXF2jgFD8swx7/mK9/2I5CGauhPQm+/BvvA92BfdX/0ZzilTBO9hOW2tWzzAnlo39tS5eW0S1y6EC1QCdueQQy/dvgk8i9CxnHIRRKyJpQ/k2oZ5PcNvSypG2LLabMi66CJk3HknHFOn4lRdXUiDXAoBe8DZFEKWXkuLrawtouxuH8aur8PeBkNk8ZSCkB1KHuIZuzH1NrRyFxru7xNskF/6yjdwTpjAapBz4daz2hafpHaFrPaHDOS8SyXsJ+mRDY2US0ByxfP5oP/xR3j79IH53/+G+bXX4BozBo2rVsGX79/ne28bAyAwihUyTVVkj0+Af6pZACkVW6sjxPHeRi3ZetqI+BFN3cm1GLD3kYEAgIWX3i6oP6ERcCbRTDVTyrGGsyXJNs2MSHxi6QO5tqGiIrpgWrCsPh/S77oLxo0b4e3RA/aPPwas8rXF1T8zERwXKdskdsjQs0YIHR52az/egwFkh5KHeMZuuRYD/vjlu3h1+SwAwJKhY/HEyPtRl2nF2YbwdoNb735vcrG2TJWa4DBWevHJmMijhP3k06OzOr4ddVqCGuUS4Fa8LKOONe3kzW51OPOj92EqK4PO5YL9s8/gvOMO/zRUnU70WsxKzP1ObI9PgG2QDpxeu8K3z6GQ45TinNROikLrv4hkZcPi/0OGy4E3R9yMsvEzwu41LpQACQCyGaNRkU41E7JJkWhfii2hzi9CayRSA42vrLqqKuQM9HfsNb75JtzXXiv4e6l65toDZiI4LlL8M/d6Jh1Yo/BZp5PNxivWIDtERIp+3z7suPmC4HGvuRvwS3Z+8JgZxwvVY269KymvYW2ZKtSgldLwFdOOVF3JibWVsJ98eqyoFjg5BdDZbLboFjppEP9ef8ptPnKggT1a63B70VDxG0bvXY/Fw8Zh2sFNeNL9M1xjxsAzaFBIQ1zsWkyBiH0nFb5n5+5lOiRPvLGv1G+VgDs6eHaOIXRf9dMo/XdPJFL52RMSnw+GnTthWrMGjjlzgh+L6Y1pH6obPWhitM/7tzVi86jWIIEPIS3xdeh1yzaprv1khzSbWij693a5kDZ9OiyvvQbH9OlomTIFyMgQ/YlUPUcSh0jxz9zr1bs8+NnGHHwwYtO1+Slrb8gOaPcd6CsrkfbYYzB9/DEAwP7xx/BcdJGoRqLRmbO6KuQ9SNGj2D2llieSWDvWaLU+xAMaKZcAsyfH+OmnqHhiHjrVHMH7Ay5HlrMJ7w4owaNjbmH9RmpvmdB9lCSa6S9qrzvX6hR7InVQegQn7YknYHnxRZyy2eC54ALWd1KzFXMdqN0Tvm9VSEuB6/odYYGkshAEERvC2RvzkiVIf+wxuEaMgP3TT+E5/3xJ15Wq50jiECn+mXu9QSvYw2ANp4fNyd4QShKN39YdPIic/q37F9Z/9x18Z54ZPBbTSDQ64xshlqJHsXtKLQ/F2tqAEr2FQXf8OMylpci89lrAboc3Lw+v/vVBnPHkBtx3/RM4lZ7DW3njlZxBCtEkUlA7CQMz+UT/tka0ePz7ppaU1+BAgyuuZSFSEyW1bJk/H5YXX0QzY3SciVS9BaZ8Ch3zEWkiF7W1TxCpiKC9sdmQPnmyv0F+zTVoev99yQ1yIDZ6FrMpVfUulJTXhPhroXKQvSGURJbfbmmBZd68YIO8eeFCnLLZWA3ycMipxwGtjP46TVZsK3ZPqeWhhMfagEbK+bDbgawsmEtLkTZvHlxXXIGWu+8GLBZ4Bw7En/J74Y3Te32nGXSYXZQVcgkt9fpGs+5D7TV3zF7CeG/hxkTttfWEeiilZcNXXyHt2WfhmDkTzilTeOuUVL1xV8iIrJgJEulMnFjuTUoQBD8h9sbhhnHlSmTedhtabrsNp6qqJCdyY2o126hD/7ZG1jaK0SJnm8TSYivGrT0Ku87MKodasQbZs+QkIr/tcCDj5pth+Okn+DIyYF+3Dp7TWxVHipx63KoV8S2NhZhVlIWxAm0SqeVRK9cCn/5SGWqUB2hogGnNGpjKymD88kvU79kD1+jRcN50U8harbm77MFM53a3D3N22bHuqnTWOdEmZ1CSaMSmpFCjfV41Ozoo4VzqosS0Lt3Ro/Ccfz4qylbj5qaeOLGimrVjArNOCdUrpn6O2Nl1v4G7f5ECxHJvUoIg2AT0zdR28f6d+HzJeNjTszD2kWX4rf+FKDVkQupGZ9y9lYfkmbF5VHy0KuSvu2Wb8OqAFhQWdmV9r1ajgOxZ4hJJYlRev+31wrRqFTLGjwcA/LZ0GcamXYgThzzIPV4jKyaXU4+jjW3F2iRaT2zIp78lvVQulIqkdqO8uRnGLVvgLimB+fXXYdy6Fa7Ro9FUWgrk5EAozJUiICm9U/FyBlrpCRZ6Xm75ZhVlYe4ue0h51VzzIsdoauW9E9ER7QiO+eWXkf7oo2jYtQs3N/VkBclMuHWKW38cbi/21Ll5f1tV78G57/6OzhmmmNczLc0CIohkgekf05wOTN2yDPPKF8Oelon82RvRZMkAaiIbRRPTasC+VDe5Udvig9WCqOwH114xd4QA2Ls63L7bgsY91Zrwi2TPEhexGFrUb/t8MK5bh4yxY+Ht1cu/c8E112Ds6hOKxuRydzyINLaVWoff+7UBd22uhxf+tculw3Iwpnt2RPdSGtIfm9RrlDudsCxciLS//x2+nBx4zjsP7osugnPyZDgnT5Z0CTnJTfhQsjIGxH+0IQ2d9rF7+LTSEyz0vNzyjV1fxzuCqOZUejlGUyvvnYiOaHqaza+/jvRHH0XLhAnwdu+OE98J7/WRazGwnDh3JF2synkBHG704XBj5FPfIoUSwhCE8gT84UW/fYuVr01GB3stGr79FgO/SUcTI6ljJHGCmFa5o+h2N3C40Ylxn9WG3cmBD66/69/WiCF55hB/PXGzDXsbDAA8mvCLZM8SF6mJUZmYS0uRPm0agNPbCF59NaDXh72eVMR8uFBdD8S2fFsaS0FqHQ40yAF/zDBhc73qjXLSH5uUapRnXn01DHv2QHfqFDx9+6Lxgw/g69Ah4utE0zjkCpZJNJVRbE2KVnqihMTHLY+Dk0maOe1NLect52+ulfdOqITPh/QHH4Tz5pvhWLQIQKgGsow6dMjQB+vUhE02wZF0wak7HL454URJubypd1JQO88EQSQjZ7sa8OuD/sRtN457BpUlo7DurA7I/aFGdtAqplUhf7Svnn82jhCBmOabE2y7Zff4eKfKa80vkj1LXCJp0Bl27EDaY4/B+PXXcF9yCRpXrADMZtnXE4Lb2cUkXCZ27g4oUpFah71hjgPEc5YnX9md1eolxlablGqUt9xzD7w9e8LbvXtU14mmccgVLDcol4uYo9NKT5SQ4eCWL82gC/YuBr5XGzl/c628dyL+GD/+GJ7Bg3GquhpISwt+zqcBprMTC1B7W434td7D0gYfbh+C2WZj0Yml9TVqBJFQ+HwwL1mC1f9cAgAYvmAdmgrOUiQBmphWuf6ptTyRFV+oESLk77TmF8meJS5StGFcswYZ48fDZ7XC9Ze/oHH1asBikX29cIj58FjVdal1WA92Q1xo+614zvKUujVcqpBSjXL3yJEhn8V73S9XsB0y9PhmTMeoryvm6JTqCY72XQkZDm75ZhdlYQ5nTXkiQj3wqYlx1Spk3norWu6/H4558yTrpqreFTJ7hq/TLlCnsgw66HRAndOLWocPTW4fy+GqPQJFEIQ4hm++gWXhQpjWroV99Wo0Dx2KlZxzYtVoDPin70464WQYjrOy9Cgpr5Hs57l2xqgDBuWaMasoi/c6QtnXCSJSxLShO3QI6dOnw7RmDbydO6Phq6+AzEzZ15O7PlypgTe5MMt9ZiZQ1QjWmnI+tDabJZVIqUY5H3J6hKJpnMaql1hsTQrT0FTVu0RH6sSQ+q4ifT98hpCbzT4RoR745EWojhvXrEHmrbfCNWIEHPPmAQBu2ViLPbX+KaGV8OCWDbXYdG3oms2Jm22sUfAsow5bR+WFaEeoTjG3DASU7ZWnpIUEoSBuNzKvvRbGrVvhvPFGnDp+PGQqrVIIaTfgn7442szaTgl6XUQxETemGZRrxrqr8kK2MB1SdhwD2vv3P+bLvk4QSqA7fBiWf/4TlpdfhuPhh9G8eLGsZapcpMa/3O3Jll/WFkM7KRPPyvHDfDswhItL5bZTKE6IHqHZCymDnB6hQCWvrPcEp4lKpbTYiiF5ZpydY8CQPLNiPWcBB1s22IF1V4UG8kqUPVwm15LyGgxaUY0/rKqJ6B7M35aU1+BAg0tymQhCDYR0lLZgAdwXX4ymFSuC5+6zsddo/mzjX7PJ1ZfLGzqPVEwrsbItQHR2gyCIVoxr1iC7Z0/oTp5E43vvofmll2LWIAeAWzbUsrQ77rNa1veB7ZTcPv92Sr/VRxYTzSrKQpZRB6PO35EY2COZ+7sWL8h2ELHDZkNOu3bIOfdc6BobUf/LL2h54glFGuSA9LYCV09zdtnDXjvg10d/nSYaA8vxw9VN7Hijujl8zgi5sQTFCdGT8iPlcnqEopnaofboqVDZpfRwRZLJlcnvTeKNbMpSTqhBNL26XB21274Z5Us/xT+ml/mvw/ySvTNQ6PFpuPpq8SJEC2JaiaVtoelsBBEdpuPHkTl5MvQVFXCNHQvHU0+hqsGNiRKnisu1V9zEbdzjEC1z7FO4mEhoj2ShNetkO4hIEa37TU1Ie/xxmFatAjIzYf/f/+D5wx8UL4PUtoKcGFssUbOUa4tR28Lu3K91hE8aITeWoDghelJ+pFxOjxBXjGonKokEobJL6eESe1di4rO1iJeJ22gP14gnCCXg1vmhK6XP1mDq6JJfv8bHS+5Av33f8GqnV45R9DhAabE1ZNuzcE4uXk4vkW0eQaiKzwfjqlUYcOWVMG7fDvvOnXD87W+ATheRDZI9CsWNwTnHXC33yjFGFBMJ2aRAvMA1FWQ7iEjhrft2O7IuughtOneG4aef0Pjhh6g/dEhSg1zO7EypbQU5MbZUvy7HD1st4sdKQnFC9KT8SLmcHqFETuAlVHYpRkFWJlcA7dIEhgZPw220h2vEE4QScOu43e2DvV7a3rkBHXX5cRdW/PNW7M8twIBHPuC97rIR7STZi27ZJgxoZxZdF65W5uJEtnkEoRa6Q4eQPWAAvD164NcFC5A7aRLr+0hskNwOud5WI3bXulnHTMLtCBEOIZsUiBcONITmsUnlLY+IyGHWdaPHhUs2foQ2Nz8KAGhauhSu66+P6HpyZmdKbSvIibGl+nU5frhzhgmHG52s41hBcUL0pHyjXA7RTBOVMwVNyeQJQmWPNthnivF4k5eVsKpjung1a5emg93uYx0TRKwR60gKF/AGdKTv0hG73y/CwEn/YV1XrmbDObV4Oj1K2kIQMmlpQdbFF0N/6BCct9wCx4IFqDt8GLmc0yKxQXxZnaVkSf/PpeKdgtEuewlnkyLZ8ohsDsFHrsWA37wu3PL1Kvxt9QvI8Lph/+gjeC65RPA3YnUpljPO5MTYYomapVxbjHjGDELlI11LhxrlcUZOD1081lxHK1ymGPl6xsWwmvU4yNjMqa055VdVEHFArCMpXKeUfu9eZF9yCU4dOQLdZ59gCKe+T9gUXrNCjkpM2/HMSUG5HggicvTffYfsP/4RAGD/8EN4hg0TPDcSG8T10Q63l1effHYllrpV0iaRzSH4eP/Yxyh4eDIA4KGHX8FtU0ahW454ckSxuiRnECrahqVYjB3QUEVFBQoLCyRfUwpq57ECSNeRQI3yOCOnhy4e60iVFG7E1+KscfOFz0NBEFEjtyNJ//PPyL7kEvgMBiAzE90Quk2ZFM1q3VFR0haCiICGBqRPmQJzWRmaliyB68YbAb14B3MkNojrVwetYA83B/SpdbsiBtkcgonhq6+QMX48svV6OEePRnNpKWYbpM3iFKtLcgahotWVFhrHakG6lg41yhUk2gzmQqi1jjRe1Do9oscEEWsCDjOg4evWneTXcH09si+80P/PEycEr8enWa594CY01JqjSna7QyQHWpgamX7vvTC//TacN92E+p9+gq9Tp4ivEWnQLqTPRA6AU8HmcOvrzK46FKpdqBgiR5+m995DxoQJ8HbpAuf48WiZPBkwRaZpsbokZ+AnkXWlNqmga6VIyUa5kJGI1rlL6UmT00OXjMkTmO/690a2hYxHojctBHKE9hDVsNsN5OSgec4cOCdPBnTCuQ/4NMud0s4dQ5PqqKrqXbhlQ61/ayOfP3HTfy5tB58PitbpZLQ7RPKh5siw7uBBpE+fDtPHH8MxfTpaZsyIy30BYX3KXXsulYDvrG5yo7bFB6vFnzwq3HWZPjfTZ8FbHV0h56eCzeHW11kOMzb3V7lQMSQSfep//hmWv/8d5vfeg7dLFzTs2AFkZsq6r1hdEiqTWFyohYZltHEr9/ezirIwd5c95nFwKuhaKVKyUS4kyGide7QZzIWQ8puA2I42pKHTvhpBcWmlMSq2r3k8Er0l8hQ/InYIaVh36BBy+vVD05IlcE6ZEvY6fD3x3Gt7Gf/OMuokO6pbNtRiT11rNuXdte7g9ipK1ulUnm5HJA6qjGC53TCXliJ9xgw4pk1D0xtvAJYY7jV0Gin+W+rac7n34vpuuxs43Ci8t3IA9u8MvOengs3h1s86V3IntpWiz4wff0T6iy/C/J//wDFjBk4dOgRkZ0d1X7G6JFQmsbiQqassgw4tHi8GraiOaxwtNW6Vot1KeDB2fV0wj0Us4+BU0LVSpGSjXEiQ0Tp3NXvSWsWmxyGHsIPUSmNU7N2Gy9Yei/vTVCQC4New7uhR5PTrBwBw/d//SboOn87EMi13yNBLdur76t0hn/HVX6rTRCoQb79r+t//kDFpErzt26Phq6/gLYzf5GMp/lvq2nO59xL6fbjrks/1w62vVlNyJ9ER06fu5Elkn3ce2tTXw11cjPrKSvjatVOtTGJ1lKmrkvIaVeJoqRqSql2Hh133UlWTWiIl01wLbXAv9HlVvQsl5TUYtKIaJeU1ONDAXgsaoLTYiiF5ZpydY8CQPHNw5Evq76NBqli14hi57zrLqAt5b3KQ+q6F/tZEasOn4ZxzzgEAnKqtFZ2yzoRPZ8xrZxnZ1zne5JVuH3hiuONNXmRzrnmk0RMze0MQWkHI7yqN7vhxpD3wADImTYJ76FA0VFTEtUEOhPfffP4vxNcadJJ8pNC9hHxlOB/K/f54kzclbRO3vs7ryT9jMFng1WdDA9InT0b2OefAM3AgfnzzTTSuWhWzBjlXF7OLsnhthtS4UK04mk9DfDoWKl+WgR0jcDc6ojhYfVJypHxWURbGrq+Dw+NDmkGH2UVZAITXPUgdXRaaohGP0WmpowVaWBcD8L9rJab/SH3XtMaF4IOpYd3Jk0BTLeq/+w6+goKwmZSZ8OlMKNNyYCske71Hkn3obTVidy17tNzu9sHnA4bkmbH7pBMtXqDF45/OHs/ZMFpZHkOkDvGYGml6912kTZ8OGI2o378fvlzujuPxIZz/5vN/XF/X4pE2nV3oXoHrVTe7UetgrykXo7TYios+OI6m05e0u324ZUMtNl2bH/mLSGC49bWiwqZiaWIP63ltNmRfdB70hw/D+de/wr5uHbwDB6KpoiKmZeDqYs4ue1RxoVpxNN8Winxxg1D5uGMKXTP1yLEYwz4v+fX4kZKN8rm77MF1FHa377RA0wWde7S9YvHoVQt0NDS7vTDrdah3eXjXu2ilMRqrbc+kvmta40KIoaurQ0737vDl5KD+4MGIf19abMUtG2rxs80N6ACH2z8qFNAhM9v7BSuPs37LN/rFdIh/G5KDObvs+OaEE4xtjWH3+LB5VB4GrahGZb1H8HqxRCvLYwhCCXRHjiCnb18AgH3VKniKi1UtTzj/zd3R4UCDM+T869adZJ0jZG9+b3Ihy6hDuzQdOqYbg/eS6zu7ZZvAmS3rt49E8uPzwfzqq0ifOhUA0PQIkmgUAAAgAElEQVTqq3CNGRO328uNCwMj7NzGqJw4WkqStXAwyzdoRTXsAn5eqHwNbrYAndBJ0jL59fiRko3ySBvJ0faKxaNXrbWjQYdmL/CzzX8/roBi1RiNtCctViLXykwAIoE5dQo5Z50FAKjfv1/WJbplm2Ax6NFyOpvbnjo3bx2fuNkGrvkJN/oV6OVnrmtj/o47RY17HEu0sjyGIKLC40H6Qw/BWF4O96BBaCwrA6zqz6YK57+5O5fUOIBjDvHcFkfs/mUuQonc+qQrGDNwTVFy5zgjApw6BdOqVbCvXw/P4MFxv73cuFAoTpUTR0tJsrakV+jvhGJrsWcSKp/c90B+PX7QmnKeYy7RrlmLx5o3MZHEQ0ABg1NZ7wlOmRUjViKP1/pCInlJnzkTAHCquhowm2VfR0od535m0SOkzgpdR6iuc6eoSVwGrwiUq4FIdEzLlyNr+HCY/vtfNH74IRo3bNBEg1wK3J1LuNpn5rYISLPFC5bPjmUA3ivHKHpMJClWKxo/+kiVBjkgPy5UUgtyk6wJxdZynknueyC/Hj9S0iJGOvUk2tHleEyVFsvsHA8BRTv7IJCwItr1KmpMS6f1NklCUxMsL7+M5iVL0PziixGtIeerA1J6pbnnDGhvDqk7QtcRquvcKWrcY7nI2Y6JOsWIhKGxEVnFxTDs34+WSZPg+PzziGxAtCjhRzqmG3HQ3jrKnW7QBUfjAHZuC6FlLrGcbbZsRDtM2GTD0QYHOmWnRWQfyM8ScpEbFyqpBe610ni0yYdQbM18pqp6l6QcTXLfg1AeLkJ5UrJRnozriblrys/MMaDFi6gDY6mOMFLjJTVhRSJA622SAIcDbTp3BgC0PPggquweTNx8UrDec3XR4vEGk68JJVji06FS5zCJVVAtZzsmgkgEAtucua66Ck3LlsF7eseFeCKkry+ONrMC4uWXtcXQTum81+DaitlFWZgjsG41XCK3WHSsBexDRUUFCgsLIvot+Vki3rD2Jjfq4HCHHzwSipmlaNNZHTrDVIo/j7U2hPJwEcqTko3yZIS7pjzbZMB2BUQZq2zmUhNWJELvOK23SXCcTrTp2BEAcOrgQUCnC1vvud9bOANqu086cd26k8i1GPBBSXvBOiulERtpQzdWQTXVcyLZMHz7LTJHjoS3c2c0//3vcN5xh2plEdIXc+2p3e3DDevrcHgcf0DMl6hKCCE7odWONbI/hFJIjSvl7E0eyTp0bsO2ojq0rFL8eay1QdqLH6quKd+6dSvGjh2Lc845B1arFW+//Tbre5/PhwULFqB3797o2LEjrrzySvz0009xKVs89hZXkliJJtKsld+M6Rg0QFIRW68S6Vp1NaD1Nq1oWdNC6A8fBgCcqqoCcnIAhK/3ITrgrN1s8UKxOhupLYpGi2JQPU9NElHTYfF4YC4tRdbw4UBLC+xbt6raIAeE9cVde8o9FkPMf8bCTsQybiL7oxxJqekIkBNXSo2FlY7FpexUFGttkPbih6qN8sbGRvTp0wdPP/000tNDe35feOEFLFmyBAsXLsSGDRuQl5eH6667Dg0NDVHdV4rjSITGIJNYiSbLyG5tZBuVzxollnwiEXroKLlcK2ppWhZuN7K7d4cvLQ2nbDZWMqdweuIen5mpR5ZRB6MuNKFwtHWWzxap0WlI9Tw1SShNS0C/dy/atG8P07vvomHTJtTX1QE8zxVvSoutGNDOCIsesBhat1FM4+yewD0WI97+k2urxn1Wq5idIvujHMmm6UiRowupu5ooHYtzNTV0ZaieYq0N0l78UHX6eklJCUpKSgAA99xzD+s7n8+Hl156CQ888ACuvfZaAMBLL72EwsJCvP/++xg/frzs+0qZks0V6e5aZ3AtCd/+gmpPqQ5McZGTQEUUTi9dLPYXF5sulwhbnGl1up8aqKXpiPF40CY31/9vU6h2+aaMMae8ZRl0GNDOiAa3D7kWAxxuL+xu/j13I62z3Kl13L2HT7R4VFlfSfU8NUkYTYdBd+IEcnr0AAA0P/UUnHffDRi040+EtlFcfllb3LC+Ds0eH3w+INvkY21hJoYU/6nkEjFu3LSv3h3c8jFaO0X2RzmSRdNykRNXcncy2F/v5l1frvTyMa6m+PIvSd1fXS6kvfih2S3RDhw4gGPHjuHSSy8Nfpaeno6LL74YO3bsiOraUnrJuCJt8bRORx27vi6uo+hSRsUCoikb7FB0yqqdM1WOexxrqIcueYilpiPC50Ob9u0BAPU//wxfXqiz4Zvayeyx3lPnhsWgD37P1YXFAN46K2eWDnfv4VyLISFmkBDJj2Y0HQbjp58GG+QN27bBee+9mmqQB+DT9dBO6Tg8rjOKcs3wAjjaDN64g8+2SPGfSs4KDGnccMIFslPaJ1E0HQ2zirKCM9uyjNKyiXN3MWny8C9RU3pZiFiHQaTbqBHaR7OJ3o4dOwYAyOMEzHl5eTh69Kjg7yoqKlj/5yPTZwFgYBw7Q86f2VWHWQ4z6lw6HGvRwelr7SZrdnvBnKR6tMEher9ouX23BXsb/OWthAcXlR1De7MPVpMP83o6cUY621goWRajm/2ujO7QdxVrlvRq/bez2sabDCNAvMumJSJ59sLCwhiWhJ9oNa0k3YcPx8GHHoKroQGQOCXvaEMamP2YTN1zbUrPDA9e698EgF1nb/rGgl+aWrX81zVH8dYgdqube59sgwdnmH34rdn/2ammZvjdvLgNk0Mq60cNlHzfiaRpID51zXTiBM588klk7tiBX158EfUXXhi4eczvzUe4ZxaLTcTsDxAaJ4xbexSvDmgJ+s/DzTrcvLYZNpeOFTuEu24kMOMmq8kHpxfY18h+no179mPWLxbYvj4kGMOkGkLvO5U0HU/fM2O3BXa3v17a3T7M2FqDVwe0iP6Gq00mQpo53KzDrF/MIZoTQ6wtcsKpQ7O3te0RsA/c+5xw6qCUptUi0corlXCa1myjXC6FhYWnt9sQfvC3Oobf068QwOb+/n8zsy4CQLpRz9pfsFN2WsTbe0RC455qgDHVpsmrQ5NDh0MO4G8H27CmlYR79khJ//EY0NQ6LTc9zYLCwq6KXV9JlH72RCKZn12x5/L50KZtW7TceSccH3yAMyP8ead9NTjkaLUDTN1LsSkAcGD7EdZxVYsh5Pm49ynISQMAOJv8n+1rNKB/WyOGZOgVXUKTzHVIi6T6+47ps3s8/j3Hv/8ejocewqkPPkB+RgbyY3fHsEj5e4vZETH7A4TGCXadmeWr7y2vwd4G/++ZsUO460YCM24CgAMNoc8zYZONtxypSjLZAbnPEe93EE4rfDC1GdjGN4CQZoQ0JwTfe2Bqik9P3bJNIffx54KKXxtFaZJJE5Gi2UZ5fr7ffdbU1KCgoLUy1dTUoEOHDlFdW8q6aLH1o2J7f/L9Ptqgmbv+hUmsp4Nxp+xwjwlCKrHUdFhON8gBwMlZQycVsbVi3bJNeGWYNaj5CZtsmHhOGh7Y1sDaX5g7nTPkWOA+1607yTrH7vFh86jUDWQJbaCqpgUwfPkl0mbNguH779H02mtwjR6tSjnkILZ2c1ZRFmu/cu6UW26ckGXUsdaVVjezc14EYge5a2ClxDh8z0NLb7SNFjUthNw4W86acmZd5msc8xGSm+qkM+w+51ykPCP3PlYL0KetWfFtUYnYo9lGebdu3ZCfn4+NGzdi0KBBAACHw4Ht27dj7ty5UV1bSpIk5jkAMCTPjE3Xtp7D3V9Qzj2kwnSa3B66WCc+S4REa0RiEEtNhyPr4osBAA07dsB79tmyrhEu2QlX81/XOHE6Z1Nwf+HeViN217YGx72toSaY7z6kQ0KLqKnpEGw2WBYvRtrixWheuBCNn3wC6DWbNidi5u6ys/Yrn7PLzopDuI1rh9vLskfcnVQCNkRuEie5MQ7ZMm2jKU2HQW4djDYZm1TNcOt6YKvUSMoq5Rm59+mcQYnZEhVVG+V2ux2VlZUAAK/Xi8OHD2PPnj1o27YtCgoKMGnSJDz33HMoLCxEjx498OyzzyIzMxPXX399VPeV0lMbbW+ukr3BcnrolCJc7zxBMFFL06I0NqLptdcArxfeXr3Cny8Trsa9nO8dHh/+c2m7iPQb6CX/vcmFLKMO7dJ06JhupJ5vIm5oUtMcLM8+i7T58+Ht1g31+/bBl6/mRPXYEC6m4DYUBq1gJ1/hGz2LZkaf3BintNiKcWuPwq4z0yieSiSCpqUgtw7GK5s4s/F/2O6BkxEUcGeuCCHlGZXO+E6oh6qN8m+//RZXX3118HjBggVYsGABbrzxRrz00kuYMmUKmpubMW3aNNhsNhQVFaGsrAzZ2dlR3VdKT63U3lwhpxar3uB4b00QrndeCcQCAyWXARCxRy1NC5Hdowf0J0749yGPMVzN68FumKcZdKL65avr3Bk7fdLD6/+Lo82sjrTll7XF0E7q78NMJCZa0zQTfWUl0idPhmHnTrTcfTccTz8d83uqBV9MIeYfuefbWoDVI9n+k5kvJ9IZfdzrH2n0SNqqrVu2Ca8OaNFsbppUQMuajgQtzroQ0mSXZb/D6W2d5Vrr4F8Kyv19NmeGy/Emb8gUeNqyLHnQ2Wy2pFskHC5JgFCyhEjPAUKTwA3JM2PdVXmSf68UASEz9ylX4n6DVlSjsr7V6J2dY8A3YzpGfV0mQu8w3HdcUjk5RCo/uxDZ/fpBf+gQ7OvXwzN4cMzvx9X8XeekYQpnTblY45ivrp9o8USsvy7Lfmctccky6nB4XOewHVxUh+ILve8o8HhgmT8f5jfegPess9BYXg5kZKhdKlGi/XsLJU0T8o8HGlwYurKGZQu4/jMa/x4oz+6TzuDe6gBg0QMD2ptFYxCq+63Qu5D/DuIdZ0tBKGY9993fcbixVYtdMnX4/q+dWb+tqKjAvfusrN/3ytHjSJMPDo8PXh+7o18sHk5kUlkTml1THkuk9CpJ7XkSmloS756r1hE1PQ45nFGtYWfCXYfG7bVTAu47/L3JFUxQc8ROSWGIyDGtWOFvkH/ySVwa5AC/5sd0Fx9ZYDaUjzSG1nU5o1EOzp7pgWMl81wQhFrof/wR2YEcEV98Ae+556pcovgQadK0btkmWC2AnTFL9vcmF+v8cMnhxOxMoDzchn2Lt3UfdbIvRCzR4gixkCY7Z5hwuLG1sd05g19X3N//Zveypr0z2V0beeI4QtskTxYUleBOl1Fr+oySa9ir6v2N4kErqlFhY697kZK5PlK478zW4nfqlfUeVg8837kEwcWwaRNcY8agfv9+eAL7EmuUQEO5st4DrmQDjnZInhmW05a6xePXxi0baoMaLSmvwYGG1mA7zcDuOAscU9ZjIqFpbkbmyJHIvPpqtNx5J06dOJEyDXIhwsUfNs7Wy9zjgH05O8eAIXlmwNfqewMN60jLEEDqmlmCSCaENMnVmtC6b+7vXQINcsAfD0SiVWZsz40bCG2QkiPlSqKVBAtKrq3hrmNlYveEb5VHug6c+w6rm92w21vvYzEAZ2QaKIEFEZbMkSNh3L4d9b/9Bl9urtrFCQu3YawDcEamDp0zTEHd8I1G/WxzBzusuKPeyy9rixs4a8oBba6/IwgpWJ58Eua33oKvUyfYN2yAr1s3tYsUc6T40XDxR7s0HcuXtktjd9iFSw4npeMuUIavapysHR6F1swShNrEMleRkCaljupzf//dSSdrpFwH4KwcA47Y2YNWUrRKs+W0DzXKJSAm4GimzyhpGAJCZq4pl4uYuKUE8pEKn/sOS8prcNDe2ikwoF1yrpshlCXjuutg3L4dje+8A9/pPcm1SkD73CnrPvBvZ8JtUIOzioSp2aGd0nF4XOjaddpJgUg0dDU1yLrgAuhra9H85JNwPvCA2kWKG1L8KNd3BkbCAjFFW7MeBxmrUDumi4d80ezfzF0za7WI/46SuBLRIrcOxbJxGu2Ueu7vh608hj11rbNO+rU1YvOo/JC161K0KjZbjvSoDWj6ugSYU0ylThOJx3WZU1EmbLKhtNiKssEOrLsqLyoxccWdZdSFnXLDJNppslKn+RBEEIcDpo0bMX3KP9G/caDmp2YFtM8nDaEtT5ia6JXDDq6lOOTATgpuX+tOCgShSbxemJcsQU5hIVw33oj6/ftj0iDX8nROOX6UG1P4fIjIl0bje7lrZIXWzAqVVam4ikhM5GhRbh1KpKVcy0a0Y2ly2Yh2AORpVWy5C+lRG9BIuQRiJeBor8vX27dEgW2Y+abfRNLIz+KsaeUeh0OLyTsI7ZI2axZaJkzABW9V+PVQ79H81CwxrUvZ8oQv62yk99RyIEKkLoZvv0XW8OFwFxWh8YMP4B4+PGb30uJ0zuAsGk6SUzkjYXaPD5tHSX+eaHxvpEv5yB4RTORoUW4dSqSlXEKajHR71W7ZJlGNkh61ATXKJRArAUd73ViJKNpGsU4nfkwQSpE2axYs//gHPOedhxPei1jfadmp8GU97pChx/EmL+xuH+xhOhbkaDSRAhEihamvh/uSS9C4ciVgiG0d1WIgys3pYjH4l3BJHQlTS+OR2iSyRwQTOVqUW4e0kgsqVgh1cIhplPSoDahRLgCzpynLoMOAdkY0uH2KCjhaw6C2iIR64xrc7AQv3GOCUArPgAFoWroUruuuQ255jWadClcrs4uyMGeXPUQ7g1ZUw85I6BZJIyHcmrBkD0SI5MBTXIzG4uK43EttH8oHV/NnZBokN3ZjrfFwNiaSdalkjwgmcrQotw5FO/CktfXX3PJwdz6IJGEj6VFdqFEuALe3ekieGZuuVXZaW7SGgU9Ezur4rQMR6o3TYqBDJCeuMWOC/9ayU+FqZc4uO6/2o9FOuOl/tCyEINho0WZEYwNirfFwNiaSKchkjwgmcrSoVh3S2rIXbnmyjOzpqZEkbCTUhRrlAmhxWhsXPhFVVAucHAOE3pEWAx0i+dGyU5FqT6LRTiLYLILQElq0GVr2n+FsDNkgQi5a1KIQWqvn3PtbLUCftmZN2hBCHGqUC5Boo72B6StHG9LQaV8NazpNrKbaCL2jRDKuBBEJcrUk1Z7ISd4S6T0IgtAuTBtQVR+a0FHNabLhbEy478XiFILQGkI+V2u+lptMuZ1Z+pIXQlvQlmgCJNq2XIHpK4cc+pDtDGK11UGivSOCiBa5WlJCK+HuTXokiORCa9sUhbMx4b4Xi1MIQmsI6U9rvpaSKycPNFIuQKKN9opNp4nVVBtfFPnbtJYogyCkEE5LQvVaicQyu086WZ9x751oNosgCHGU8N1Sfa2U88LZmHDfa23aL0GIIVRfY+lr5cTGdS1e9rHTK3AmoXVSZqS8qt6FkvIaDFpRjZLyGhxocKldJEXhm0Ym5btoiKYXX2sjAAQhhXBailW9nrjZBo7f5Z0amsw2jiBSDSV8t1SbJPW8aOxMrGIRgogFatRXrg5v2VAbVm+1LewRsloH7XiUqKTMSLnWsiUqTSA5zNEGBzplp7Gm0wgljol2tDqaXm/qMScSkXBJmGJVr7nXMemAFo8Xg1ZUB8uR7DaOIFINJZK+SbVJUs/j2plxn9UizaiPaBs0vjiFILSGGkkXubr72eYOdsgz/Tozfnd62Y1wqyXmxSRiRMo0ymMVLGtlGnZgOk1FRQUKCwt4v+MSbRAfTbILrSXKIAgphJu2pnS9DtiXI41se2Ux6LC71r8XaUC71NFFEMkF194ERqkjiTek2iSp53Htyr56NwIfSd0GjS9OIQitEe9p6kCoDsFZHx7QH3fbZiadM2gpaKKSMtPXtTiFO1qina4abRAfTbILrSXKIIhI4dOf0vU6YF8C0rTogSF5ZrRLY3vqgGNnQh1dBJFc8MUb4eIAqTZJ6nkhdoUzU5Y6AwkiPLdsqGVpedxntQBCddgrhz12GtAfV2cWPSieTgJSZqRcyjQUOaPeao5O8Y10L+kl/ffRjupF04tISamIREdopskrw6xBOzJhky2q2TNce3JGln+rk5LyGhy0t/aSB+yVVvc3JggiNkvGws14k+prpZ7HtTMtHm9w1g5AnYGE9tHCDNd99W7eY64ODzSEbosIhMbvA9qbKaZOAlKmUS7F4ciZzq3mNGwlRrq1EMRrwUASRKQI6e+WDbXYU9c6tXzcZ7XYPCpf1j2E7AufdqmjiyC0TSyWjP3exB4Z5x4rjdRGA0FoFa4Oh66sQYcMfXzjT24uNoHcbEJ+XSvxO6EsKdMol4KcRq6awlBzpFtJKEEVkYgI6U+oB1wOQvZFK9olCEI6sehIH7qyhnWOrSXqYkYE2SIi0eDqzu72wV7viWv82dtqZM0w6W2NrDlGuktOqFHOQE4jV01h8DloZ3XibS1GCaqIRESwQ05iD7gUyPESRPIQi470dmk62O0+1jFBEMKEJFNjEK/48z+XtuOJ3+vjcm9Cu1CjnEGiTQfhc9AV1SoVJgooEzuRiAg1mKPtAScIIjmJRYzRMd3Iyi/RMZ3sDUGIwdTh8SYv7O7WTq14xZ/JEr8TykLWmwGNSqlDonWGEIQYfD3gBEEQsYgxyH8SRGQwdUg5EQgtQY1yQnWoM4RIJqg+EwQRL8jeEIR8SD+ElqBGOQPKAk4QRKJA9oogiFSB7B2RilC9Ty2oUc4gWbOARyNqMggEoS0dBMqy+6QTLV7/Z8lkrwgiVYmlndGSDZNDssZnROxJ5Lovpd4n8vMRbKhRzkAoC/gXR5sxdn0dHB4f0gw6LL+sLYZ2SlejiLKIxpmRIySI6HQg5jDlOFNmWZjQrgUEkdjE0t/yXfuVYVaW/ZlVlIW5u+yaDO5plxZCLnJ1FW1jV4nGspR6T3F68qBXuwBagpt1MXA8dn0d7G4f3D7/foY3rK9To3iyicaZkSMkiOh0EHCYlfUe7KxxYsImm6TvpJYlAO1aQBCJTSz9Ld+1ufZn7Pq6iO1RvBCKzwgiHHJ1Jcc/K/l7QFq9pzg9eaBGOYPSYiuG5Jlxdo4BQ/LMwSyMDg97o2HusdaJxpmRIySI6HQg5jDlOFPuvS0GsOwVQRCJSSz9Ld+1ufaGG9toKbgXis8IIhxydRVtY1eJxrKUek9xevJA09cZCGVhTDPoWPsYphl08SxW1ESzZQptt0IQ0ekg12JAJTysYynfRVIWrUwxJQhCPrH0t3zXnrDJxrI/3FhHS8E9Zckm5CJXV3L8s5K/B6TVe4rTkwdqlEtg+WVtcQNnTXksiFWyhmicGTlCgohOB2IOk++7cHaANEkQyUkstM21Jx+UtA/aE679mV2UhTmcNeUEkejI1VW0jd1ZRVmsfFSzi7IiLoMUKCZIHqhRLoGhndJxeFzsE7tRsgaCSD7EHCbfdyXlNWQHCIJQBLG4gs/+rLsqcZLYEkQsibaxO3eXPTjzxO72Yc4uO+mLEIXWlGsIStZAEATZAYIglILsCUGoA2mPiBRqlGsIStZAEATZAYIglILsCUGoA2mPiBRqlGsIyi5KEATZAYIglILsCUGoA2mPiBRaU64hKFkDQRBkBwiCUAqyJwShDqQ9IlJopJwgCIIgCIIgCIIgVIIa5QRBEARBEARBEAShEtQoJwiCIAiCIAiCIAiVoEY5QRAEQRAEQRAEQagENcoJgiAIgiAIgiAIQiWoUU4QBEEQBEEQBEEQKkGNcoIgCIIgCIIgCIJQCdqnXENU1bswcbMNJ1o8yLUYUFpsRbdsk9rFIoiUh7RJEEQ8IFtDELGFNEZoFRop1xATN9uws8aJynoPdtY4MWGTTe0iEQQB0iZBEPGBbA1BxBbSGKFVEqJRvnTpUvTv3x/5+fkoLi7Gtm3b1C5STDjR4hE9JohkIdE0TdokCHESTdNahWwNoRWSVdOkMUKraL5RXlZWhkcffRQPP/wwNm/ejCFDhuAvf/kLDh06pHbRFCfXYhA9JohkIBE1TdokCGESUdNahWwNoQWSWdOkMUKraL5RvmTJEvzf//0fbr31VvTq1QuLFi1Cfn4+XnvtNbWLpjilxVYMyTPj7BwDhuSZUVpslfzbqnoXSsprMPrrNJSU1+BAgyuGJSUI+SSSpgO6qm52I8uoQ5dMXcTaJIhkJ5E0HUsC9mLQimrZfjiaOIAglCIRNC1Xb6QxQqtoOtGb0+nEd999h/vvv5/1+aWXXoodO3aoVKrY0S3bhHVX5cn6bWCNDKDHIYd/jYzcaxFErEg0Tbfqyk+ftmbSFUEwSDRNxxKmvaiER5YfjiYOIAglSBRNy9UbaYzQKppulJ88eRIejwd5eWzx5OXl4fjx47y/qaioYP0/VTjakAbmxIejDY6UewdA6v3dmUTy7IWFhTEsiTDRaFoNUk1XyfxsWkTJ951ImgaSs66FsxfJ+MxyoXfRitC7SCVNy/ltMvrnRC+/UiTrewinaU03yuVQWFiIiooK1YyZWnTaV4NDjtYRvU7ZaSgsLFCxRPEnFf/uAZL52dV8rlTSVTLXIS2S6u87GZ9dzF6k+t+bCb2LVpLpXch9DrnvINn8czLVhWhI5feg6TXl7du3h8FgQE1NDevzmpoadOjQQaVSaZPAGpmCNC+tkSE0S6JpmtaeEYQ4iabpWEL2gkgGEkXTpDci2dD0SLnZbMbAgQOxceNGjBo1Kvj5xo0bcc0116hYMu0RWCPj72FK3J5CIrlJNE3T2jOCECfRNB1LyF4QyUCiaJr0RiQbmm6UA8C9996Lu+66C0VFRbjgggvw2muvobq6GuPHj1e7aARByIA0TRDJBWmaIJIL0jRBxB/NN8pHjx6N2tpaLFq0CMeOHcM555yDd999F127dlW7aARByIA0TRDJBWmaIJIL0jRBxB/NN8oB4M4778Sdd96pdjEIglAI0jRBJBekaYJILkjTBBFfNJ3ojSAIgiAIgiAIgiCSGWqUEwRBEARBEARBEIRKUKOcIAiCIAiCIAiCIFSCGuUEQRAEQRAEQRAEoRLUKCcIgiAIgiAIgiAIldDZbDaf2oUgCCanL7EAABtrSURBVIIgCIIgCIIgiFSERsoJgiAIgiAIgiAIQiWoUU4QBEEQBEEQBEEQKkGNcoIgCIIgCIIgCIJQCWqUEwRBEARBEARBEIRKUKOcIAiCIAiCIAiCIFQiYRvlzz33HIYPH46CggJ0794dN9xwA3788UfWOT6fDwsWLEDv3r3RsWNHXHnllfjpp59UKnFseO6552C1WjFt2rTgZ8n83NXV1bj77rvRvXt35Ofn44ILLsAXX3wR/D5Zn93j8WD+/Pno378/8vPz0b9/f8yfPx9utzt4TrI+OxEbUs12xJsFCxbAarWy/uvZs2fwe3rXyYWUmGTSpEkhdeKyyy5TqcSxo7S0FBdffDEKCgpQUFCAyy+/HGvXrg1+n0p1P9y7SJU6sXXrVowdOxbnnHMOrFYr3n777ZBz9u/fj5tvvhldu3ZFp06dMGzYMOzbt0+F0saOcO/Bbrdj2rRp6NOnDzp27IjBgwdjyZIlKpU2NlD7TZiEbZR/8cUXuOOOO7B27Vp8+OGHMBqNGDVqFOrq6oLnvPDCC1iyZAkWLlyIDRs2IC8vD9dddx0aGhpULLlyfPXVV3jjjTfQt29f1ufJ+tw2mw1XXHEFfD4f3n33XezYsQPPPPMM8vLyguck67MvXrwYS5cuxcKFC7Fz5048/fTTKC0txXPPPRc8J1mfnVCeVLMdalFYWIh9+/YF/9u2bVvwO3rXyYWUmAQA/vjHP7LqxHvvvadSiWNH586dMWfOHGzatAkbN27EsGHDcNNNN+H7778HkFp1P9y7AFKjTjQ2NqJPnz54+umnkZ6eHvJ9VVUVrrjiCnTr1g0ffvghtm/fjscffxyZmZkqlDZ2hHsPjz32GNatW4eXX34ZO3bswMMPP4w5c+bgnXfeUaG0sYHab8IkzT7ldrsdXbt2xdtvv42RI0fC5/Ohd+/emDBhAqZOnQoAaG5uRmFhIebNm4fx48erXOLoOHXqFIqLi/GPf/wDCxcuRJ8+fbBo0aKkfu65c+di69atrF5mJsn87DfccAPatm2Ll19+OfjZ3Xffjbq6Oixfvjypn51QllS0HWqwYMGCYHDJhd518sONSQD/qGhtbS2WL1+ucuniz5lnnonZs2fjtttuS/m6H3gX48ePT8k6ccYZZ+CZZ57BTTfdFPzszjvvhE6nQ2lpqYoliy987+Giiy7C1VdfjZkzZwY/+/Of/4y+ffti0aJFahQz5qRa+02MhB0p52K32+H1emG1WgEABw4cwLFjx3DppZcGz0lPT8fFF1+MHTt2qFVMxXjggQdw7bXXYtiwYazPk/m5V69ejaKiIowfPx49evTAH/7wB7zyyivw+fz9Ssn87BdeeCG++OIL/PLLLwCAn3/+GVu2bMHll18OILmfnVCWVLQdalFVVYXevXujf//+uP3221FVVQWA3nUqwI1JAmzfvh09evRAUVERJk+ejJqaGpVKGB88Hg9WrFiBxsZGDBkyJKXrPvddBEi1OsHF6/Xik08+Qa9evTBmzBh0794dw4cPR1lZmdpFizsXXnghPvnkExw+fBgAsGPHDnz//fcYMWKEyiWLHanWfhPDqHYBlOLRRx9Fv379gobu2LFjAMCa2hw4Pnr0aNzLpyRvvvkmKisr8corr4R8l8zPXVVVhVdffRX33HMPHnjgAezduxfTp08HAEycODGpn/2BBx6A3W7HBRdcAIPBALfbjalTp+LOO+8EkNx/d0I5UtV2qMHgwYPxr3/9C4WFhThx4gQWLVqEkpISfPnll/SuUwBuTAIAl112Ga6++mp069YNBw8exPz583HNNdfg888/h8ViUbG0yvPDDz+gpKQEDocDmZmZeOutt9C3b99gUJ1KdV/oXQCpVSeEqKmpgd1ux3PPPYeZM2di9uzZ2Lx5MyZMmIDMzExcccUVahcxbixcuBAPPPAAzj33XBiN/ibaM888gz/96U8qlyx2pFL7LRxJ0SifOXMmvvzyS3zyyScwGAxqFyemVFRUYO7cufjkk09gMpnULk5c8Xq9OO+88zB79mwAwIABA1BZWYmlS5di4sSJKpcutpSVleGdd97B0qVL0bt3b+zduxePPvoounbtiltuuUXt4hEJQCrbDjUIzGIJMHjwYAwcOBD//e9/cf7556tUKiIeCMUkY8aMCf67b9++GDhwIPr164e1a9fimmuuUaOoMaOwsBBbtmxBfX09Vq1ahUmTJqG8vFztYqmC0Lvo06dPStUJIbxeLwD/NO377rsPANC/f3989913KC0tTalG+b///W/s3LkT//vf/1BQUIBt27bhiSeeQNeuXZMyAWAqtd+kkPDT12fMmIEVK1bgww8/xJlnnhn8PD8/HwBCpgHV1NSgQ4cO8SyiouzcuRMnT57EhRdeiPbt26N9+/bYunUrli5divbt26Ndu3YAku+5Af/ftFevXqzPevbsGZzmk6x/cwCYNWsW7rvvPowZMwZ9+/bF2LFjce+99+L5558HkNzPTihDKtsOLZCVlYXevXujsrKS9JrECMUkfHTq1AmdO3dGZWVlfAoXR8xmM84++2wMHDgQs2fPRr9+/fCvf/0rJeu+0LvgI5nrhBDt27eH0WgUje9SgebmZsydOxdz5szByJEjce6552LixIkYPXo0XnzxRbWLpzip1n6TQkI3yqdPnx78gzK3mgGAbt26IT8/Hxs3bgx+5nA4sH37dlxwwQXxLqpiXHnlldi2bRu2bNkS/O+8887DmDFjsGXLFvTo0SMpnxvwr7XZv38/67P9+/ejoKAAQPL+zQGgqakppBfRYDAEe5iT+dkJZUhl26EFHA4HKioqkJ+fT3pNUsRiEj5OnjyJo0ePBoPQZMbr9cLpdFLdR+u74COV6kQAs9mMQYMGoaKigvU5M75LBVwuF1wul2islyykYvtNCoZHH330SbULIYepU6finXfewRtvvIEuXbqgsbERjY2NAPwC1+l08Hg8WLx4Mbp37w6Px4PHHnsMx44dw+LFixN2rU5aWhry8vJY/7333nvo2rUrbrrppqR9bgDo0qULFi5cCL1ej44dO2LTpk2YP38+HnzwQRQVFSX1s+/btw/Lly9Hjx49YDKZsGXLFsybNw+jR4/GiBEjkvrZCWVIZduhBo8//jjMZjO8Xi/279+PadOmobKyEs8//zysViu96yQjXExit9sxd+5cZGVlwe12Y+/evbj//vvh8XiwaNGipPqbP/nkk8G6f+TIEbz00kt499138eSTTwbre6rUfbF3kZ+fnzJ1wm634+eff8axY8ewbNky9OnTBzk5OXA6nWjTpg3atm2Lp59+Gh06dEBOTg4+/PBDvPDCC3jqqafQo0cPtYuvGGLvoUOHDtiyZUsw6Z3P58Pq1avx3HPP4a677sLgwYPVLr4ipGr7TQoJuyUaN6NpgOnTp2PGjBkA/NvOPP3003jjjTdgs9lQVFSEZ599Fn369IlnUWPOlVdeGdzWCEju5167di3mzp2L/fv3o0uXLpgwYQLuuusu6HQ6AMn77A0NDXjqqadQXl6OEydOID8/H2PGjMEjjzyCtLQ0AMn77ETsSCXbEW9uv/12bNu2DSdPnkTu/7d3/1FV13ccx59XmJs6fmj8jEswVKL8EQUCWmL+CAMTEwwtRR2lS43aYCnOE0d32ungDNQFalp2dsGU6Rgq81ghOlJgzaFYZicmNsZZzbQLDTHix/5w3Hm7V6QSmPF6nHPP4X4+n/v9fj7fw+fe+/5+flw3N0JDQ1m1ahVBQUGArvV3zfW+kzQ1NTF37lyqqqqor6/H09OT8ePHs2rVKoxGYw/XtnstWbKE0tJS/vWvf+Hs7MyIESN4+umnLTtI96X//c6uRV/6nygtLWX69Ok26Y8++iibNm0CIC8vj8zMTOrq6ggICCAlJYVZs2b1dFW71fWuwyeffMKaNWsoKSnhs88+w9fXl/nz5/PUU09Zvufe7BS/XdtNG5SLiIiIiIiI3Oxu6jXlIiIiIiIiIjczBeUiIiIiIiIivURBuYiIiIiIiEgvUVAuIiIiIiIi0ksUlIuIiIiIiIj0EgXlIiIiIiIiIr1EQbmIiHSbJUuW4Onp2dvVEBER6XOmTZvGtGnTersa0gUKyuVrMZlMuLq6Ehoa2ttVEZEuysvLw9XVFQ8PD2pra23yZ8+ezahRo3qhZiJ9W0fftPd49tlne7t6ItLN9u7di6urKwUFBTZ50dHRuLq6snfvXpu8qKgo7rjjjm6p05kzZ3jhhRf46KOPuuX4Yp9jb1dAbi75+fncdtttVFdX89e//pV77rmnt6skIl3U3NxMZmYmWVlZvV0VEblKWloaP/rRj6zShg8f3ku1EZGeMnbsWADKysqYOXOmJb25uZnKykocHR0pLy8nNjbWknf58mVOnDjRpRFwe8H+9XzwwQdkZGRw33334efn97VfL9+MgnLpsrq6Oo4ePcq2bdt47rnn2LVrl4JykZvIqFGjyMvLIyUlBV9f396ujoj81+TJkxkzZswNP+6lS5cYOHDgDT+uPY2NjQwaNKhHziXyXeHu7s7QoUMpLy+3Sq+srOTy5cskJCTY5B0/fpzm5mYiIiKuedyOvt+/f/9uqbfceJq+Ll22e/duBg4cSHR0NDNnzqSgoIDW1larMk1NTSxfvpyAgACMRiNz5syhrq4OV1dXXnjhBauyH3/8McnJyQQGBuLh4UFYWBivvPJKTzZJpE9JSUkB4MUXX7xu2d/97ndMnDgRLy8v/Pz8WLBgAefOnbMpV1lZyezZs/H398fb25uxY8eSmZnZ6bHPnDlDUFAQkydPxmw2f6O2iPQVra2trFu3jrvvvhsPDw9GjhxJeno6TU1NVuVGjRpFfHw8R44cYfLkyXh6erJhwwZL/qFDh4iJicHHxwcfHx/i4+OpqqqyOsa7777L0qVLCQ4OxtPTk4CAAJKSkmyWvXRMuz9y5AjLly9n+PDh+Pj4WOWVlpayfPlyhg4dym233UZycjJffPEF9fX1LFmyBD8/P/z8/Fi1ahVtbW3ddPVE/v9FRETw3nvv8fnnn1vSKioqMBqNxMXFUVVVxaVLl6zy4H+j7J31fXtrygsKCpg4cSK+vr4YjUbCwsJYu3YtcKX/LliwAIDp06dbltPk5eV13wUQQCPl8jXs2rWLmJgYBgwYwKxZs3jppZcoKSlhypQpljJLly6loKCAhIQEwsLCOHr0KAkJCTbHOn/+PFOmTKGtrY3HH38cd3d3jhw5QmpqKhcvXtRaOpFuYDQamTdvHiaTidTU1GuOlmdlZfHLX/6SGTNmMHfuXMxmM1u3buXBBx/k7bffxs3NDYAjR46QkJCAu7s7ixcvxtvbmw8//JADBw5YbgB8VVVVFTNnziQwMJD8/HycnJy6rb0iN4uGhgYuXLhglXbLLbcA8NOf/hSTycT06dNZtmwZlZWVbNy4kffff5/8/HwMBoPlNWfPnmX+/PksWLCAxMREjEYjcOUm2+LFi5k4cSLp6ek0Nzfz2muvERMTw6FDhwgMDASgpKSE6upq5syZg7e3NzU1Nbz66qscP36csrIym1H3FStW4OrqSmpqKg0NDVZ5K1euxMPDg7S0NP7yl79gMplwcXGhsrISLy8v0tPTeeONN8jOziYoKIjExMQbfl1FbgYRERHk5eXxzjvvMGnSJODKdPaIiAjCwsJobW3lnXfeYcKECQCUl5fj7OzMyJEjLce4Vt//qsOHD5OUlERkZCTp6ek4ODjw4YcfWkbj7733Xn7yk5+wZcsWUlNTLe8N4eHh3XkJBAXl0kXvvvsup0+fJj09HYDg4GCGDh1Kfn6+JSg/ceIEBQUFLFq0iF//+tcAPPHEEyxdupT33nvP6njPP/88zc3NHDt2zPIFPykpiaeffprMzEwWLVqEq6trD7ZQpG9ISUkhNzeXF198kfXr19vk19bW8qtf/Yq0tDRWrFhhSY+PjyciIoKcnBzS09Npa2vjmWeewc3NjdLSUgYPHmwp297ebvfcx48fJz4+nuDgYHbs2NFj02pF/t/Fx8fbpP3jH//g3LlzmEwmHnvsMXJycix5RqORjIwMDh48yIMPPmhJr6mpYceOHcTExFjSGhsbefbZZ3nsscfIzs62pCcmJhIaGsratWvZtm0bAI8//jjJyclW9YiOjmbq1Kns27eP2bNnW+UNGjSI/fv34+ho+3XSzc2NPXv2YDAYWLRoETU1NWRnZ5OYmMjGjRsBWLhwIaNHjyYvL09BufRZV68r7wjK//znP5OWlsaQIUMYPnw45eXlTJgwgfb2dioqKhgzZgz9+v1vwrO9vm/PwYMHcXJy4ve//z0ODg42+f7+/owbN44tW7Zw//33M378+BvYUumMpq9Ll+Tn5zN48GAmT55sSYuPj6eoqIjGxkYAiouLgSuB+NUWL15s9by9vZ3CwkKioqIwGAxcuHDB8pg0aRJNTU0cP368m1sk0jd1jJbn5eXx97//3SZ/3759tLS0EBcXZ9U3nZ2dufPOOyktLQXg5MmTnDt3jieffNIqIAesRu46HDt2jIcffpjw8HB27dqlgFzkKhkZGfzhD3+wegwYMIA33ngDgGXLllmVX7p0KQ4ODpb8Dj4+PjZfyktKSjCbzTzyyCNWfbq1tZWxY8da+jRg1S///e9/c/HiRYYNG4aLiwsnTpywqfeCBQvsBuQA8+bNs3ovCAkJob293Sr4dnBwIDg42O7SGJG+YtiwYbi7u1tGqz/44AMuXLhgGZ0OCwuz5J0+fZr6+npLIN/BXt+3x9nZmcbGRg4dOnSDWyHflkbK5bra2trYs2cP9957r9W6spCQEBobGykqKiIhIYHa2loMBoPNDrIBAQFWzz/99FPMZjO5ubnk5ubaPef58+dvfENEBLAeLb96zSnA3/72N4Brbjrl7+8PXLkrD3TpJ1m+/PJLZs2axYgRI8jNzeV73/vet6i9yHfPPffcY7fPdXyuDhs2zCrdxcUFLy8vmxtr9nZK7ujTDz/8sN1zXz3aZjabWb16NYWFhXz22WdW5b46PR3+935gz1enzzo7OwNY1p5fna69JaSvCw8P59ChQ7S0tFBRUYGTkxMjRoyw5P3iF7+gtbXVsp78q5u8dXWX9CeeeILCwkIeeeQRvL29mTBhArGxsURHR9u9oS49R0G5XFdpaSl1dXXU1dWxf/9+m/z8/Hy768avpWNDl1mzZjFv3jy7ZYKCgr5ZZUXkuoxGI4mJifz2t78lNTXVKq+jf+7evdvuCNgPfvCDr30+R0dHoqOjKSws5ODBgzz00EPfrOIi0qkBAwbYpHX06ZycHG699dZOX79w4UIqKipYtmwZo0ePxsnJCYPBQFJSkt3N2Oydr4O9qbHXSr/WkheRviIiIoL9+/dz8uRJysrKCA0NtfSV8PBwPv/8c06dOkV5eTn9+/cnJCTE6vWd9cWrubu786c//YnDhw/z5ptvUlxczM6dO5k6dSo7d+5UYN6LFJTLdeXn53PLLbfY3VG5uLiYHTt2cP78eXx9fWlvb6empobbb7/dUubs2bNWr3Fzc8PJyYmWlhbuv//+7q6+iNiRkpKCyWRi3bp1VukdM12MRmOnN8c6yr3//vtWmz3aYzAY2LJlC5cuXSIpKYmdO3da1s2JyLV1fK5WV1dbRs3gyqj1xx9/zNSpU697jI6+6ubm1ulnrtls5vDhw6SlpZGWlmZJv3z5skayRbrZ1evKy8vLmTNnjiVv+PDhDBkyhPLycsrKyggODu5yEG5P//79iYqKIioqivb2dtasWcP69eupqKjo9GfWpHtpTbl06vLly+zbt48HHniAGTNm2DyeeuopWlpa2LNnj2W9eceGMR1efvllq+cODg7ExsZSVFTEqVOnbM756aefdl+DRAS4MoV0/vz5vP7661bLUmJjY3FwcGDt2rV2R686doi+66678Pf3Z/PmzTbTXO29ztHRkddee42xY8cyb948jh07doNbJPLdExUVBcCmTZus0jdv3kxra2uXgvJJkybh4uJCZmYmzc3NNvkdn7kd09i/2n9zcnL0k2Ui3eyuu+5i4MCB7N27l5qaGqvg2GAwMGbMGAoKCqitrf1WgfPFixetnhsMBkaPHg1AfX09cGUDR0A343qYRsqlUwcOHKChoYHo6Gi7+YGBgZZd2J988kliY2PZunUrDQ0NjBkzhqNHj1JdXQ1Yb/60evVq3n77baKiopg/fz533HEHZrOZU6dOsX//fj755JMeaZ9IX/azn/0Mk8nE6dOnLT+P5u/vz+rVq3nuueeora1l2rRpuLi48NFHH/HHP/6RmTNnsnLlSvr160dWVhYJCQmMHz+euXPn4u3tzdmzZ6moqODgwYM25/v+97/Pjh07iIuLY86cORQWFnL33Xf3dLNFbhojR44kMTERk8lEQ0MDkZGRnDx5ktzcXKZMmWIJ2jvj7OxMVlYWixYtIjIykvj4eDw8PKitraW4uJigoCA2bdqEs7Mz9913Hxs3buTLL7/E19eXsrIyjh07xpAhQ3qgtSJ9l6OjIyEhIZSWluLg4GAzPT0iIoI1a9ZY/v6mkpOTuXjxIpGRkfj4+PDPf/6TrVu34uXlxbhx4wAYPXo0Dg4OZGVlUV9fz4ABAwgJCel0Dwn59hSUS6d27dpF//79O51qGhMTw29+8xuqq6vZvHkznp6e7N69m6KiIiZMmMD27dsJDQ21Wovq7u5OcXExa9eupaioiFdffZXBgwcTGBjI888/3xNNE+nzOkbLt27dapWenJxMQEAA2dnZrFu3jra2Nm699VYiIyOtNouaOHEiRUVFZGRkkJOTQ2trK/7+/p3uMTFo0CDy8/OZPn06cXFxFBUVceedd3ZbG0VuduvXr8fPz4/c3FwOHDiAh4cHycnJrFy5ssvrP+Pi4vDy8iIzM5OXXnqJL774Ai8vL8LDw/nxj39sKbdt2zbS0tLYvn07LS0tjBs3jr179zJjxozuap6I/FdERASlpaWMHDmSH/7wh1Z5HTuxGwyGbxWUJyQkYDKZ2L59O2azGQ8PDx544AFWrFiBk5MTAB4eHmzYsIHMzEyeeeYZWltbyc7OVlDezQxms1m7a0i3qqqqIjIykpdffvlrbQgnIiIiIiLyXac15XJDNTU12aRt2rSJfv36WabFiIiIiIiIyBWavi431IYNGzhx4gTjx4/H0dGRt956izfffJOFCxfa/GapiIiIiIhIX6fp63JDlZSUkJGRwZkzZ2hsbMRoNDJ79mx+/vOf2/3NYxERERERkb5MQbmIiIiIiIhIL9GachEREREREZFeoqBcREREREREpJcoKBcRERERERHpJQrKRURERERERHqJgnIRERERERGRXqKgXERERERERKSX/Ac2oHeO8iBFWwAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's try the same data with polyfit -- note that poly fit can fit more complex functions.\n",
"\n",
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" x1, intercept = np.polyfit(df_penrose[o],df_penrose['bodyfat'], 1)\n",
" line = x1 * df_penrose[o] + intercept\n",
" df_penrose.plot.scatter(x=o, y='bodyfat', ax=ax[i])\n",
" ax[i].plot(df_penrose[o], line, lw=1, ls='--', color='red')"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's try the same data with polyfit -- note that poly fit can fit more complex functions.\n",
"\n",
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" x2, x1, intercept = np.polyfit(df_penrose[o],df_penrose['bodyfat'], 2)\n",
" line = x2 * df_penrose[o]**2 + x1 * df_penrose[o] + intercept\n",
" df_penrose.plot.scatter(x=o, y='bodyfat', ax=ax[i])\n",
" ax[i].plot(df_penrose[o], line, lw=1, ls='--', color='red')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What happens if we start to remove parts of the data -- is the relationship still as strong?\n",
"\n",
"We can use the [pandas sample command](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.sample.html) to remove some of the dataframe."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Let's do a basic Linear Regression on a Single Variable.\n",
"# Note that linregress p-value for the null-hyp that slope = 0.\n",
"df_test = df_penrose.sample(frac=0.30, replace=False)\n",
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" slope, intercept, r_value, p_value, std_err = stats.linregress(df_test[o],df_test['bodyfat'])\n",
" line = slope * df_test[o] + intercept\n",
" diag_str = \"p-value =\" + str(round(p_value, 7)) + \"\\n\" + \"r-value =\" + str(round(r_value, 7)) + \"\\nstd err. =\" + str(round(std_err, 7))\n",
" df_test.plot.scatter(x=o, y='bodyfat', title=diag_str, ax=ax[i])\n",
" ax[i].plot(df_test[o], line, lw=1, ls='--', color='red')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we want to determine if these correlations are significant under the missing data then we need to run bootstrap samples and see what happens.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"results = {o:[] for o in observations}\n",
"for i,o in enumerate(observations):\n",
" for t in range(500):\n",
" df_test = df_penrose.sample(frac=0.30, replace=False)\n",
" slope, intercept, r_value, p_value, std_err = stats.linregress(df_test[o],df_test['bodyfat'])\n",
" #r,p = stats.pearsonr(df_test[o], df_test['bodyfat'])\n",
" results[o].append(p_value)\n",
"rs = pd.DataFrame(results)\n",
"ax = rs.boxplot()\n",
"ax.set_ylim([-0.01,0.17])\n",
"ax.axhline(y=0.05, lw=2, color='red')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A More Complicated example with Statsmodels.\n",
"\n",
"Statsmodels (you'll likely need to install it) gives a much more R-like interface to linear modeling. You can read [more about it here](https://www.statsmodels.org/stable/index.html)."
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [],
"source": [
"import statsmodels.api as sm"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [],
"source": [
"df_ind = df_penrose[['Neck', 'Wrist']]\n",
"df_target = df_penrose['bodyfat']"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
bodyfat
R-squared (uncentered):
0.868
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared (uncentered):
0.867
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
823.5
\n",
"
\n",
"
\n",
"
Date:
Tue, 29 Oct 2019
Prob (F-statistic):
9.64e-111
\n",
"
\n",
"
\n",
"
Time:
11:37:42
Log-Likelihood:
-868.15
\n",
"
\n",
"
\n",
"
No. Observations:
252
AIC:
1740.
\n",
"
\n",
"
\n",
"
Df Residuals:
250
BIC:
1747.
\n",
"
\n",
"
\n",
"
Df Model:
2
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
Neck
1.6874
0.295
5.714
0.000
1.106
2.269
\n",
"
\n",
"
\n",
"
Wrist
-2.4602
0.616
-3.995
0.000
-3.673
-1.247
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
2.850
Durbin-Watson:
1.490
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.241
Jarque-Bera (JB):
2.309
\n",
"
\n",
"
\n",
"
Skew:
0.107
Prob(JB):
0.315
\n",
"
\n",
"
\n",
"
Kurtosis:
2.583
Cond. No.
60.1
\n",
"
\n",
"
Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"=======================================================================================\n",
"Dep. Variable: bodyfat R-squared (uncentered): 0.868\n",
"Model: OLS Adj. R-squared (uncentered): 0.867\n",
"Method: Least Squares F-statistic: 823.5\n",
"Date: Tue, 29 Oct 2019 Prob (F-statistic): 9.64e-111\n",
"Time: 11:37:42 Log-Likelihood: -868.15\n",
"No. Observations: 252 AIC: 1740.\n",
"Df Residuals: 250 BIC: 1747.\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Neck 1.6874 0.295 5.714 0.000 1.106 2.269\n",
"Wrist -2.4602 0.616 -3.995 0.000 -3.673 -1.247\n",
"==============================================================================\n",
"Omnibus: 2.850 Durbin-Watson: 1.490\n",
"Prob(Omnibus): 0.241 Jarque-Bera (JB): 2.309\n",
"Skew: 0.107 Prob(JB): 0.315\n",
"Kurtosis: 2.583 Cond. No. 60.1\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X = df_ind\n",
"y = df_target\n",
"\n",
"# Note the difference in argument order\n",
"# Call: endog, then exog (dependent, indepenednt)\n",
"model = sm.OLS(y, X).fit()\n",
"predictions = model.predict(X) # make the predictions by the model\n",
"# Print out the statistics\n",
"model.summary()\n",
"#fig, ax = plt.subplots(figsize=(12,8))\n",
"#fig = sm.graphics.plot_partregress(endog=\"bodyfat\", exog_i=['Abdomen', 'Neck'], exog_others='', data=df_penrose)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also use the [single regressor plot](https://tedboy.github.io/statsmodels_doc/generated/statsmodels.graphics.api.plot_partregress.html#statsmodels.graphics.api.plot_partregress)."
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.graphics.regressionplots import plot_partregress\n",
"fig, ax = plt.subplots(figsize=(12,8))\n",
"plot_partregress(endog='bodyfat', exog_i='Neck', exog_others='', data=df_penrose, ax=ax)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we have multiple elements in our regression then we need to use a different plot."
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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vvYWcnBxs3boV9+/fh6enJzp06IBPPvlE5zRQs2bNsH//fsTHx2PZsmVQKBQICgrCsmXLtGrAWEtoaCh2796N+fPnY/78+XB0dETnzp3x2WefoWnTpurntW3bFp999hnWr1+P8ePHQ6FQYN++fRTAELvHFBYWCstCsyFyuRx79uzBmDFjcPz4cUilUgQFBeHo0aOs5aHvvPMOPD09sXr1aiu2lhD7Fx0djb/++gv/+9//rN0UQkg1IZoRGKAi2bFHjx4oKSmBVCrFpk2b0KpVK5w9exYAtO44vLy88O+//+p8T64kOUIIv5KSEvVKocDAQGRlZSEtLQ2DBw+2csuIITIzMzmXaYudvX4uwH4/m7GfS1QBTGBgIE6cOIFHjx4hNTUVY8eOVc/NV+U9xcxev9CGoL+BZf8GzZo1Q3R0NBo3bozt27dj/fr1cHZ2tvjmkISQ6k1UAYyzs7O6YFZQUBD+97//YeXKlZg2bRoA4N69e+rlh6p/W3s1ASH25o033kBKSgru3r0LFxcXdOjQAbNmzWJVtSWEEHMTVQCjSaFQoKysDP7+/vD29saxY8fUOTAlJSU4ffo04uPjrdxKQuzLypUrrd0EQggRTwAzZ84c9OjRAw0bNsTjx4+RkpKCjIwM7NixAwzDYOzYsViyZAkCAwPRtGlTLFq0CFKpFJGRkdZuOiGEEEJMTDQBTF5eHkaPHo27d++idu3aaNWqFVJSUvDGG28AqNi0rri4GDExMSgsLET79u2xa9cuqgFDCCGE2CHRBDCaZd01MQyDuLg4xMXFWahFhBBCCLEW0WwlQAghhBCiQgEMIYQQQkSHAhhCCCGEiA4FMIQQQggRHQpgCDGh5CwZ2uzIhUfSbbTZkYvkLJm1m0SIWdB3nVibaFYhEWLrkrNkmHjyIYrlFfujZsvkmHjyIQAgKkBqzaYRYlL0XSe2gEZgCDGR+PNF6g5dpViuRPz5Iiu1iBDzoO86sQUUwBBiIjkyuUHHCREr+q4TW0ABDCEm4iuVGHScELGi7zqxBRTAEGIis9vXgpuEYR1zkzCY3Z62syD2hb7rxBZQAEOIiUQFSLG8Sx34SSVgAPhJJVjepQ4lNRK7Q991YgtoFRIhJhQVIKVOnFQL9F0n1kYjMIQQQggRHQpgCCGEECI6FMAQQgghRHQogCGEEEKI6FAAQwghhBDRoQCGEEIIIaJDAQwhhBBCRIcCGEIIIYSIDgUwhBBCCBEdCmAIIYQQIjoUwBBCCCFEdCiAIYQQQojoUABDCCGEENGhAIYQQgghokMBDCGEEEJEhwIYQgghhIgOBTCEEEIIER0KYAghhBAiOhTAEEIIIUR0KIAhhBBCiOhQAEMIIYQQ0aEAhhBCCCGiQwEMIYQQQkSHAhhCCCGEiA4FMIQQQggRHQpgCCGEECI6FMAQQgghRHQogCGEEEKI6FAAQwghhBDRoQCGEEIIIaJDAQwhhBBCRIcCGEIIIYSIDgUwhBBCCBEdCmAIIYQQIjoUwBBiBslZMrTZkQuPpNtosyMXyVkyazeJEELsiqO1G0CIvUnOkmHiyYcolisBANkyOSaefAgAiAqQWrNphBBiN2gEhhATiz9fpA5eVIrlSsSfL7JSiwgxHRpdJLaCRmAIMbEcmdyg44SIBY0uEltCIzCEmJivVGLQcULEgkYXiS2hAIYQE5vdvhbcJAzrmJuEwez2tazUIqLPkiVL0K1bN/j5+SEgIAADBw7E5cuXWc9RKpVISEhA8+bN0aBBA4SHh+PKlStWarF10OgisSUUwBBiYlEBUizvUgd+UgkYAH5SCZZ3qUND7DYsIyMD77//Pg4ePIi9e/fC0dER/fr1Q0FBgfo5y5YtQ2JiIhYsWICjR4/Cy8sLERERKCqqPqMPNLpIbAnlwBBiBlEBUgpYRGTXrl2sf69ZswaNGjXCmTNnEBYWBqVSiVWrVmHy5Mno27cvAGDVqlUIDAxESkoKRowYYY1mW9zs9rVYOTAAjS4S66ERGEII0fD48WMoFAq4u7sDAG7duoW8vDy8/vrr6ue4ubkhJCQEZ8+etVYzLY5GF4ktoREYQgjREBsbizZt2qBjx44AgLy8PACAl5cX63leXl74999/db5XZmameRppAsa0LQjArraVDiiKYGsf0Zb/5lVlr5+N63MFBgbqfA0FMIQQUsmnn36KM2fO4MCBA5BIqp7boa8TtpbMzEybbVtV2OvnAuz3sxn7uWgKiRBC/hMXF4edO3di7969aNy4sfq4t7c3AODevXus59+7dw/169e3ZBMJIf+hAIYQQgBMnz5dHby88MILrMf8/f3h7e2NY8eOqY+VlJTg9OnT6NSpk6WbSggBTSERQgimTZuG7du3Y9OmTXB3d1fnvEilUtSsWRMMw2Ds2LFYsmQJAgMD0bRpUyxatAhSqRSRkZFWbj0h1ZNoRmCo0BQhxFy+/fZbFBUVoW/fvmjWrJn6fytWrFA/Z9KkSRg7dixiYmLQrVs35ObmYteuXahVi5YQE2INohmBURWaateuHZRKJebPn49+/frh7Nmz8PDwAPCs0FRiYiICAwOxcOFCRERE4Ndff6VOhhDCq7CwUO9zGIZBXFwc4uLiLNAiQog+oglgqNAUIYQQQlREM4WkiQpNEUIIIdWXaEZgNJmq0JQ9FAWyh89QVfQ3sM7fwB5rUhBCxEGUAYwpC02JvQO218JGhqC/Af0NCCHVj+imkKjQFCGEEEJEFcBQoSlCCCGEACKaQqJCU4QQQghREU0A8+233wKAeom0yvTp09V1GSZNmoTi4mLExMSgsLAQ7du3p0JThBBCiB0STQBDhaYIIYQQoiKqHBhCCCGEEIACGEIIIYSIEAUwhBBCCBEdCmAIIYQQIjqiSeIlhBBCKkvOkiH+fBFyZHL4SiWY3b4WgqzdKGIxNAJDCCFEdJKzZJh48iGyZXIoAWTL5Jh48iH2363a9jJEPCiAIYQQIjrx54tQLFeyjhXLlVh5y8lKLSKWRgEMIYQQ0cmRyTmP55UyFm4JsRYKYAghhIiOr5R7qsjbRcl5nNgfCmAIIYSIzuz2teAmYY+2uEkYjPMvt1KLiKXRKiRCCCGiExUgBQDtVUgKmZVbRiyFAhhiN7iWVKo6OUKI/YkKkGpd45mZVmoMsTgKYIhdUC2pVK1KUC2pBEBBDCGE2CHKgSF2gW9JZfz5Iiu1iBBCiDlRAEPsAt+SSr7jhBBCxI0CGGIX+JZU8h0Xo+QsGdrsyIVH0m202ZGL5CxKViSEVF8UwBC7wLekcnb7WlZqkWnxlU2nIIYQ86IbB9tFAQyxC1EBUizvUgd+UgkYAH5SCZZ3qWM3CbyU40OI5dGNg22jVUjEbnAtqbQXlONDiOXpunGw175GTGgEhhARqA45PoTYGrpxsG0UwBAiAvae40OILaIbB9tGAQwhImDvOT6E2CK6cbBtlANDiEjYc44PIbaIb78lug5tAwUwhBBCRIlr/7MgE5+DbhxsF00hEUIIER2+Jc7771J+SnVBAQwhhNgpey7CxrfEeeUtJyu1iFgaTSERQogdsvcd2vmWMueVMpzHif2hERhCCLFDYqzebMiIEd9SZm8XJedxYn8ogCHETOx5+J7YPrEVYTO0bD/fEudx/uUWaC2xBRTAEIuwxI+5LQUMtIcKsTaxFWEzdMSIrzZSWH3bDNCI6VEODDE7S8zFG3MOriWYpmoP7aFCrG12+1qsawKw7SJsxowYcS1xzsw0abOIDaMRGGJ2lpiLN/Qc5h4hEdvwPbE/YqveLLYRI2J9NAJDzM4SP+aGnsPcIyS+UgmyOc5NnTGxJDEVYRPbiBGxPhqBIWZniTsrQ89h7qCK9lAh9siceWZiGzEi1kcjMMTsLHFnZeg5zD1CQnuoEHtjiVw2a4wYmTMXjpgXBTDE7CzxY27oOSwRVIlp+J4QfewxMd3ei/3ZOwpgiEVY4sfckHPQCAkhhrHHxHS+oGzyqYfUN4gABTCk2tIX8NDQMiHP2GNiOl/wJXuqhOxpxWM0KmO7KImXEA5cy6xHpxfC3QaK5BFiDaZITLelYpOA8ODL1rdgqK5oBIYQDlxDy6p/0R0ZqY6MnXZVjWRmy+RgYFvX0ez2tTAqvVDQc8U8VWavKIAhhIO+zkrsyYuEGMPQXDbNJFnNbRatfR1FBUgx/cxD5Jfp3wBSzFNl9oqmkAjh4OHC6H0O3ZERohvXSKYmrrwaS1oQXEdrakwT1XCyTRTAEKIhOUuGIrojI6TKhAT5DGDVXBhVAT1PZ+4gxtOZoYJ6NkrwFNKFCxdw5swZXL16FQ8ePADDMKhbty5eeOEFdOrUCW3btjVnOwmxmPjzRSjXE7/Y8x2ZtVZfUR9jf/hWLlWmBARNI5nzexkVIEX8+SLkl3G31dBpM1q9aBk6A5h79+5h3bp12Lp1K27fvg2lUglnZ2e4u7tDqVTi4cOHKCsrA8Mw8PHxweDBgzFq1CjUr1/fUu0ndsKWLnpdd40MYPX2mZOlC3tRH2PfuApGctE3UmOJ7yVfG/LLlEjOkgk6DxXGsyzeKaQ5c+YgKCgIGzduRFhYGDZv3ozLly8jLy8PV69exbVr15CXl4fLly9j8+bNCAsLww8//IC2bdvi888/t+RnICJn7p2hDcU3NeQnlaBgREP88U4DdWdka8tCq0rort5Pnz7FgwcPqnQu6mPsn+b+RnypJvqmYy2xo72uNqjOo+96t0Q7yTO8IzDp6elYvXo13n77bTAMf4LTc889h+eeew5hYWFYuHAh9u3bh6VLl5qlscQ+TT+rfYdmzdUJ+rYZsOVloVUlpNpqSUkJPvjgA1y/fh1nzpwx+lzUx1QPlVcuaY5QAMKmYy1RBVjXkuocmVzQ6ArfdBkl/JsH7wjM0aNH0bt3b50diyaGYdCnTx8cPXrUJI0j9i85S4b8Uu7hZVNc9MaMkOjaFbfyaBHAvyxUrPTt6v3o0SNERUXhxx9/xF9//VWlc1EfU/0Yu+O0JXa0jwqQwpNn9aGvVKJ3dCU5Swa+b7ISsIsRWltDdWCIxVXOd3HQ8dtV1c6pKvPRfPUuhCwLFfPdlq7Rp/v37yMyMhIXLlywYguJLdLMYevh64xDOWWcOW1Caslwvd+W6yVm3XwVABZ0qsP7/R+tY3QGqOgbdPUM9jBCa2t0LqNeuHAhnj59KuiNrl27hrfeesskjSL2SzPfRVcsUNXOyRzz0UKCEzEvr+a7Qw52zkevXr1MHrxQHyN+XDls668WG53TxvV+W66XILqpq8EjN4bSNUKkbxRISN8g9hFaW6MzgElISEDXrl1x+vRp3ueUlpZi3rx56Nq1K65evWryBhL7ImQEA6iovVDVzskc8+b6ghN7WF4dFSDFH+80UCcstynPRs+ePXH9+nXW815++eUqn4v6GPETck0b8sPNd+NxKKeM9b001yiG5vdfdR59e0EJvXER8witrdEZwOzatQvFxcUIDw/HpEmTUFjIHkI7evQoOnfujMWLFyMiIgLnzp0za2OJ+Am5eN0kDBYE16nyufg6FA8XxuiVQ1ydmOpf5rortKbffvsNYWFhuHPnDut4t27dsGfPniq/P/Ux4if0B7mqz7P2D7++/B2uvoGLmEdobY3OAKZbt244ffo0PvroI2zZsgUdO3ZESkoK8vLyMHLkSERGRsLR0RF79+7F6tWrUbduXUu1m4iUvovXlEEAV4fi7AAUlSmNHt7m6sTWhrqj0Mx3hdZw7Ngx9O3bFwUFBazjERER2LZtG2rWrFnlc1AfI35Cf5Cr+jxb+OHnG51RPVa5b/B0ZuCs8QtrDyO0toQpLCzUP54P4OLFi5g8eTIuXLgAR0dHODo6YsqUKZg8eTKcnJzM3U7CIzMzE4GBgdZuhmBcyyhV3CTGlezW9TfQTAaUlSs4N27zk0rwxzsNDDqvLTH192DPnj0YNWoUysvLWcdHjhyJr776ChKJ6X9MqI+xLFN9Z3Rd0yqGXNtc76cqV+AnoIikLfWJpi7QaUufzZSM/VyC90JycXGBs7MzlEolysvL4ePjg1dffZU6FmIQ1V0K10CrORLcNO+YCnj2OLL28LQt2bBhA0aMGKEVvMTExGDx4sVmCV4A6/cxJ0+exKBBg9CnGMwrAAAgAElEQVSiRQu4u7tj8+bNrMeVSiUSEhLQvHlzNGjQAOHh4bhy5YpF2mbLuEYl32/mZnTCbeX3A8BZa0ksy5F1jdiQqtMbwJSVlWHevHkIDQ1FVlYWVq5cie3bt6OsrAxhYWH4+OOP8ejRI0u0ldgRvns1cwcStjw8bW1KpRJfffUVpk6dCqWS/V8oISEBM2bMMKhmi1C20sfIZDK0bNkSX375Jdzc3LQeX7ZsGRITE7FgwQIcPXoUXl5eiIiIQFERrSrR/KFeHOJZpR9u1fv5SSV2V2uJmI7OAOaXX35BSEgIFi9ejMjISJw7dw6DBw9Gjx49cObMGYwdOxbff/89OnbsaJKEPlI96Op8zBVIqAraqarnVmbKeWmxbi2gUCgQFxeHL774gnVcIpFgzZo1GDt2rFnOa0t9TI8ePTB79mz07dsXDg7srlGpVGLVqlWYPHky+vbti5YtW2LVqlV4/PgxUlJSzNqu6sxWE3qJbdAZwPTr1w8ODg7Yt28fEhMT4eHhoX6sRo0amDdvHo4cOYLnnnsOI0eOxMCBA83eYCIefD/mujofcyS4cVXPNcfKIVvb00mo8vJyjBkzBqtXr2Ydd3V1xZYtW8x6XYulj7l16xby8vLw+uuvq4+5ubkhJCQEZ8+etUqbqgMaMSW66KzEO336dEydOhXOzs68z3nppZdw9OhRrF69GvPnzzd5A4lt0pecpqsKrq9UwrlniKdL1Wu/cOGqK6FKCDRl4q6uwnl8n8vau3A/efIEI0aMwMGDB1nHa9euje3bt6Nz585mPb9Y+pi8vDwAgJeXF+u4l5cX/v33X52vzczMNFu7qsqW2wYAoxpKMP+6M0oUz8ZNXR2UGNXwic622/rnqgp7/Wxcn0tfYq/OACY2NlbQiRmGwdixY9G3b19BzyfiJqREv64fc75y9Qs6Vb32Cxd9w9CVgwgPFwZQAgVlSr0l0Q09j6aqbHVgCoWFhRg0aJDWhoze3t7YuXMnWrdubfY2VIc+xlZXjVh7RQvrunNmAAYoKFWyrrPAQOC5BoYF+cZ8LmvfSAhl7f9m5mL2VUhC+Pj4mPLttNAqAdsgpES/rh9zYzd0M5auYWjNaZ/8UiXyy5SCS6JXnibj29eJ7/zm2OpAqNzcXISHh2sFL40bN8aBAwcsErwYw9x9DB9vb28AwL1791jH7927h/r161ujSaKmdd2VKZFfquS8zqICpJjdvhZ8pRLkyOSIP19k0mlZsU79EhMHMOZGqwRsA19wUnlaSN/ctSWXF+oqAS50awMVzd1n9e3rpCtB2FoJijdv3kSvXr3w559/so63atUKBw4cwPPPP2/W84uRv78/vL29cezYMfWxkpISnD59Gp06dTL4/cSa7F2ZoZ+h8vPHnCjUed0Vy5WYfvYh2uzIhXvSbYxKLzRbgGHNGwlSNaIKYGiVgHWpOiC+bof57zmA/n1DLEnXiI8xwULl3We5OmFJxWi43pElayQo/vHHH+jZsyf+/vtv1vHOnTvjp59+QoMG4i3mV1WPHz/GxYsXcfHiRSgUCuTk5ODixYvIzs5WT2EtW7YMe/fuxeXLlzFu3DhIpVJERkYadB57uOM39DMYsomrSn6pkjNXDjBtgEErncRLVAGMLrRKwLw0V/JwUeLZEmlLTxPpopnjIitXYHR6YcXdoIvhdU307T6rUELQyJKlg7zTp08jPDwcd+/eZR3v2bMndu7cCXd3d7OcVyx+//13hIaGIjQ0FMXFxUhISEBoaKg6cXjSpEkYO3YsYmJi0K1bN+Tm5mLXrl2oVcuw/172cMdv6GcwdKRTCFMFGLTSSbx0JvGKibGrBOwho9sSn2HWr64oluuPd3NkT9XtCQKwq22lBxVFMFdT+f4G+++yVzHklz7rRLNlcjhCCScGKFfyBTKVF12zV0B4u7git1T7b+LtohD03yQIQFyABCtvOSGvlIG3ixLj/MsRpJAZ9XfSdc6MjAzExsaitLSUdTwsLAyzZ8/G7du3DT8hbDdB1Rhdu3bV2kyyMoZhEBcXh7i4uCqdxx7u+HVNI3sk3dZKhDXHZzNVgMG3qEB1IyGWBN/qyG4CGGOJvQO2VFZ6XoawHzhfqaPF/6a6/gb9f89FiYK/83wKBp5ODKRODnpXIVWslGDw2TUXrLstQXhjZ2y5XqLV8c3t5IlAgR1cYCAwsYthn5eLrr/Btm3bMG3aNMjl7L/DmDFjMH/+fK3pWGJefGUExHTHz/cZALCmlICK0Vi+50uYihFLzVVIfHuWqTAwXc2oyisnNYMUa68UJLrZTQBTeZWAn5+f+jitEjANXR2Wii3utCrkzq+gTIkbQ3TnfnB1ZFuulyC6qavgZdbWsGrVKs4Rg5kzZ+Ljjz82y9YARDd9d/zWYshIA9dn0FS5BhLfZ+abVta1QSQDYGQzN5NeZ1EBUs73M6a2E7Ec3gBm/PjxJjlBYmKiSd5Hn8qrBNq1awfg2SqB+Ph4i7TBnnF1QM4OQE1HRj1aYWs/3oCwwEvInS9fR3Yop8wmd7FWKpX44osvsGjRItZxhmGwZMkSjBgxwkote0ZsfYyx5HI5awNMXXf81mLoSIPmZ9C3t5mhn7ny87NlckiYisRfIbtRm5I9TPfZM94A5tatW5ZshyCPHz/GjRs3AIC1SsDDwwN+fn4YO3YslixZgsDAQDRt2hSLFi0yapUA0WaLna4Qs9vXwuj0Qt4OVuidrzEdmbXmzuVyOaZNm4akpCTWcScnJ6xbtw79+vUzexuEsMU+xhzCw8PxzTffoGnTpupjfHf81mLMSEPlz6DaZ0yThzODNjtyjboGbOFvZA/TffaMN4D58ccfLdkOQX7//Xf07t1b/e+EhAQkJCRg8ODBWLVqFSZNmoTi4mLExMSgsLAQ7du3N2qVAOFmrg7FnD/0UQFSnMkrxYarxVpBjKdLRfVfIecytCOz1tx5aWkpPvzwQ62ND6VSKTZt2oRu3bqZ7dyGssU+xhzOnDmDV155BbNmzcKYMWNYozG2oqojDVwjtE4M8PipEvllFe8hxvwRW53uIxVElb2nWiWg+b9Vq1YBeLZK4OrVq8jLy8PPP/+Mli1bWrnVRBdL1MRYHOKJtaHurCXd60LdcSPaR3BHauiSZ2sslX38+DEGDRqkFbx4eHhg7969NhW8VDclJSWYMWMG3n77bfUosi2p6lJirrIJtZwZlCnYz7P2cnFDiu+pbqyK5UqoLn1rloMg2kQVwBD7Y6kf+qpW/jW0ro2l584LCwvRt29fVqVYAGjYsCEOHDiA9u3bm+W8xDCnT59Gly5dsGrVKigUCv0vsBBT1CTSvMYKSrknbvVdA+aqUmzIzZJm3Su58tnfg4IX20EBDLEqayXJGdNJGhIEWbI4Vk5ODkaPHo3z58+zjgcGBuLAgQNo1qyZyc9JhKtTh71JaXFxMeLi4hAeHm4zozHmKDxpzDVgzhFZQ26W7KHYYHVAAQyxKmtUwbTEtJWlquxeu3YNvXr1ws2bN1nHg4KCsH//flZJAWIdp0+fRs+ePTmPd+nSBatXr7aJ0RhT709mzDVgzsDBkJslWn0kDhTAEKuyxp5JfJ2kavM4UwxdW2Irhd9//x1hYWHIyclhHQ8NDcW+fftQr149k52LGM/Hxwfbtm1DYmIiateuzXqsuLgYsbGxePvtt7WCUFtkyMilkGtA8/34Sh5ky+S8u8ALvVYNuVmi7QXEwW4K2RHbxrfSyNLLs5OzZLydZH6pEvmlplsxYc5loL/88guGDBmCx48fs4737t0b69atg6urq1nOS4zDMAyGDBmCbt26YdKkSUhLS2M9furUKXTp0gWfffYZRo0aZZPVkY1ZWafrGuB6P11U51L9/4au8BO6oig5SwZZufaIGK0+sj2Cr5KtW7fqrNtw69YtbN261SSNIvZF35SNqYeu9bVDqGK5EmNOFNrcLsF79+5FVFSUVvDy3nvv4bvvvhNt8FId+hgfHx/s2LED33zzjdZozJMnTzB9+nT07t1ba7dwW2Dq6R1DN3gslisx/cxD3naMOVEIj6Tb6P2rK+c1K3REaOLJh1rbGHi68FcNJtYjOIAZP348zp07x/v4+fPnTVZZk9gXYzs+Y1cj8L1u+hndpc+5yJXA6PRCfHwq36DXmcvGjRsxfPhwlJWVsY4PGzYMy5Yts8kaI0JVlz6GYRi8++67OH36NLp37671+MmTJ9GlSxesW7fOJnJjVEyZF6JrJFSX/DIl7+vkyop9mHJLHXhz2vTdLPEFVVJHBwpebJDgAEap1N3xFxcXi7rzJOZjbBVbYxJt+V738al8nZvD6aIEsOFqsVVHYpRKJZYuXYqJEydq/ajNnTsXH330kej3NapufUzDhg2RnJyMFStWaI3GyGQyxMTEoE+fPjYzGmOqvJCPT+VjdDr/rt/6SAR8zY0dGaLkXXHRmQOTnZ2Nf/75R/3va9eu4eTJk1rPKywsRFJSEvz9/U3fQiJ6xpTjNnYTNb7XfXet2MBWsyn/e29r3IUplUrMmjUL33zzDeu4RCLB8uXLMWTIEGRmZlq8XaZQ3fsYhmEwdOhQdW7MkSNHWI9nZGSgS5cu+PzzzzFy5Eir5saYoiptcpaMsyq2IVQ1WfSNphoTdOjqq6y1NQjhpzOA2bx5MxYsWACGYcAwDBYvXozFixdrPU+pVKo7U0I08e1cKytXIDlLxtkJGHIntP+uBP1/z9W5qZyBM0eCz12ZOTq4p0+fYuLEidiyZQvruIuLCzZs2IDw8PAqvb+1UR9TwdfXFykpKfjhhx8wY8YMFBU9Gz2QyWSYNm0aUlNT8c0331gtiDNFwn38+SKdwYvUkYGniwNyZHIwALgm0BiAtQu8A8N9fRuzYogvSOvh62yVrUGIbjoDmIiICLRo0QIAMHz4cHz44Yfo3Lkz6zkMw0AqleLFF1+El5eX+VpKREt1gU8/+xD5lapz5pcpeTsBoaM2yVkyzL/ujBKFcUO8DqgYXfGVSiB7qmC1T9+5Ndth6g6uuLgYI0eOxP79+1nHa9Wqha1bt+KVV14x6n1tCfUxzzAMg/feew/dunXDxIkTtaoqnzhxAiEhIYiPj8eIESOsMhpT1ZV1+m4CnjxV4vbQit3dk7NknBuxKgHWLvCa1x5g/IohviDN2BFhYl5MYWGhoHvTLVu2oEuXLnY3hCt2mZmZCAwMtHYzBOGr8+Anlag7IxW+TklzJYCu2hH6aL4f1zl1ndvYzybEw4cPER0drTWd4uXlhZSUFLz00kus42L6HvChPuYZpVKJjRs3YubMmazRGJVXX30VK1asQKNGjYw+hzW+M/quV83rxT3pNufzGAAFIxqq/1159NPbRYG5nTwBmK48g0fSbc6RI812mJs9XOdcjP1cgkP46Oho6lhIlRgyLSS0EJyuOzoG/Al/EgZa71f5nKj0WiFF6EyZ/Hf37l28/fbbWsGLn58fDhw4oBW82AvqY55hGAbDhg3DqVOn8Nprr2k9/ssvvyAkJARJSUl6k59tCVfhShWuURM/HYnDlVcbxp8vwuz2tVAwoiH2dSgBAJNW2xaSwGzoqklz7flUnRhUyK6kpAT79u3DhQsX8OjRI63VEAzDaCUaEqLCNy3kwIAzF0bIcDXfe6ru5Dx47uAUSu6pHWOHyI1JVOZy69YtREREaO2R06JFC+zcuRM+Pj4Gt01MqI9h8/Pzw+7du/H9999j5syZrNo/jx8/xpQpU5Camorly5dXaTTGUipP0WTL5JD8l7/ixzNCYkxOShCMXwTAR18Cs6FTyOaYcq6OBAcwOTk56gJLderUwaNHj+Dh4YHCwkIoFArUrVsXUin94Qk/vmReuRJGX7yz29fChIwClCie3dVV7lhMFVjo08PXWWt1haHz8JcvX8aAAQPw77//so537NgR27dvh4eHh4laa5uoj+HGMAyGDx+O119/HRMmTMAvv/zCevz48ePo0qUL5s2bh/fee8/ml9MbcpNgTE7Krra6R0SNSbbXl8BsaMBEOTWmIXgK6bPPPkN+fj4OHTqE8+fPQ6lUYsOGDbhz5w5mzZoFNzc3pKammrOtRORUUzRcI8jG1m2ICpDi06Zl6qkmT2cGbo4Vxefa7MhFD19nk+61xDXsm5wlw5brJazgRbVSQmhndO7cObz11ltawUv37t2xe/duuw9eAOpj9GnUqBH27NmDJUuWoGbNmqzHioqKMGnSJAwYMADZ2dkWaY+lpkC4is/pm7Llu0HxcGZ0Ti3p+ky6iuAZOoVM9WZMQ3AAc/z4cbz//vvo0KEDK/vdxcUFU6dORUhICOLi4szSSGI/ogKkUPBM2Rt78YbVl+OPdxpgbag7iuUVexqpOqct10sQ3dTVJJsq8hXJ46rwq1opIcThw4fRr18/FBayi3tFRkZiy5Yt1WbUgfoY/RiGwciRI3Hy5EmEhoZqPX706FGEhIRg48aNZs2NscSO7rroyknZf7diRaEmNwkDMOAd+ajKZzK0yB9tFmkaggMYmUyGxo0bAwCcnZ0BgJUd37lzZ84CVIRoqsrFq+sOiW9YVrXksqp7LfG9P1+FXyEBWUpKCgYNGoQnT56wjo8aNQpr165VX2vVAfUxwvn7+2PPnj1YvHixVoBbVFSEiRMnIjIyUmunclMx9b5IhuLbxb6HrzPmX3fWKofg6VyxirCAp0xCjkwu6DPx9T987eEb6TX0+YSb4ADmueeeQ25uLgBAKpXCw8MDf/zxh/rx7OxsODk5mb6FxO4Ye/Hy3SHtv1sR+Jh7WNbQ99EXkK1btw6jRo3C06dPWcdjY2OxcOFCm9yR2JyojzGMg4MD3n//fZw8eRJdu3bVevzIkSNmG42x9hQI3yrFQzllrHw4FalTxV5Gum6e9H0mXSM0QldN6ms/5b8YRnASb0hICI4ePYpPPvkEANCnTx988803cHR0hEKhwOrVq9GzZ0+zNZSIk66EOUMT6fjukFbecsLELuZP2OV7f08XBsVPwbtCQZNSqcSCBQvw5Zdfso4zDIOFCxdi1KhRJmmv2FAfY5zGjRsjNTUVGzZswGeffQaZ7Nmo5KNHjzBx4kTs3bsXy5YtQ8OGpqlZImRFobGVqYW+jisZmG+PJVUQoms1kWplFNdnBfQn3hq6grGqRQEJIImNjZ0j5ImNGzeGs7MzXnzxRTg6OiI4OBi//vorNm3ahIyMDHTq1AkrVqyoNvP1tiI/Px9169a1djM4qe5YHpRWzEc/KlficE4p/GtW3A2Na1UTsW1rY1yrmmjlqX+qZMa5h5zHH8uBgNoSvOrjgsM5pXhaqY9xkzD4slNtrfdPzpJh0OF8zDj3EJszn8DLldHbBi9XBgezS1hly50dgK9D3BHWyBUX7pejqFwJP6kEX3aqzdk5KRQKTJ8+XaskvqOjI9auXYuhQ4fq+Stws+XvgVDUxxiPYRi0a9cOAwYMwKVLl1j7SwHAjRs3sGnTJnh5eaFNmzZgGKZK3xkvV0brWgMqcr8O55TiX1k5Fv6fjPPa13Wd6eozhPQRmzOf4FG59miTn1QCL1cG8eeL8KBUAQlT0dbK1yrXZ6rcf/D1P0XlSsS2rc35mKnZw3XOxdjPxVuJ99KlS/Dz80OdOnV0vkFhYSEkEglq1aK5O2uw5cqMValOy3UXxneHBDyrlAvoH9kRWuWXq03jThSicv/oxAAru7oLupMqKyvDuHHjkJKSwm67mxt++OEHdO/eXe978LHl7wEf6mPMQ6FQ4Ntvv8WcOXO0cqsAoEePHli6dClkMlmVvjPJWTKMOVHIuQ+Rqr6LJn3XflUrWn98Kh/rrz5BxTrAZ5rXdsAtmVJrBMXTmcGCYHY1br7+Q1/bLLHZoxivcyFMXok3NDQUhw4dUv+7d+/eWvUHAMDd3Z06FsLJ2HlyvrlmriXRKpWHcvUl7BqbgBh/vgiaN3flSghKXJTJZIiOjtYKXtzd3ZGamlql4EWsqI8xDwcHB4wePRonT55ESEiI1uOHDh1CcHAw9u3bV6XcGF0rCvk2T9V37Vc1t6Zi5Z92H/HXIwXnFiGq/dhUybi6+g9duXvWXpVVXfEGMDVq1GBF7xkZGbh7965FGkXsg7GrjXStJlKNsnAR2skZ20ka+7qCggJERETg8OHDrOMNGjTAzz//jI4dO+p8vb2iPsa8nn/+efz4449YsGABatSowXrs0aNHiI+Px6BBg3Dnzh2jz8F3LfNt4aHv2q/q8mJjkoiFrp7SlXhr7VVZ1RVvEm+bNm2wfPlylJaWqu9+Tp8+rbViQtPgwYNN20IiWkLKb3MNueoKFFSdRVWSdXUl++oaBjYmSfjOnTsYMGAArly5wjrepEkT7Nq1S71suDqiPsb8HBwc8OGHH6JHjx4YN24cTp8+zXr84MGD6Ny5MxISEjB48GCDq/jyXePRTV3xQ2YxyiqVY3F2gN6Vhvr6DH34rlF9smVy9RQR3/YGuvoGa6/Kqq54c2AuXryIESNGqPdkYRhG73CjKjGMWI6150T1zfvyPa4rD4UvQFHNNVfMcxezHnN2ABJfEZaLwnfu6Kau2HK9hDc3xtDcmaysLERERGglVLZp0wY7d+5E/fr19bZVKGt/D4xBfYxlKRQKrF27Fp9//jmKi4u1Hu/ZsyeWLl2K5557zqD35brGARidL1aVXJLkLBlGpReAaxpJFwbg3G26cm6drmvf1LvR8xHjdS6EsZ+LN4ABKpZ7/vvvv7h79y66deuGGTNm6J2rDwoKMrgRxHjW/EIbmwwL6E6I47sLU3Ukmh0jAEgArA4VFsCo2i40SbhyJyS0c/2///s/REZG4t69e6zjLoEvo3TEN/Cr527SJD+xdmzUx1jejRs3MH78eK3RGACoU6cOFixYgIEDB1ZpTyUhP+hVDVT4Xvv+/r+xM9d09YJUO2LrS+A1ti80hFivc33MEsBUNm7cOIwcORIvv/yywSch5mPNL3RV7jo8km5z3vEwAApGNMTHp/Lx3bViVjKgn1QCWbmCt/JtVe929LVJqIyMDERHR+PRo0es4w6tu0ExdBHg7ArAtB2cPXRs1MdYjkKhwNy5c7F69WrO0ZhevXph6dKlaNDAuOtJ37Uk5AdfM0jp4euMQzllyJbJtUZMVP/2k0owquETLL3lqlWN11iqME5f30CrkIxn8lVImjp06ICmTZsafAIiLoZs0CakciXfe+lK1lNtjqi5aCBbJucNXvjO22TLHTTZfEfdho9P5RvVJqF+/vlnDBgwQCt4qdG5HxTDl6qDF4CS/DRRH2M5Dg4OiI6ORkZGBoKDg7UeP3DgAIKDg7F9+3ajVirpu5b0Jb1yrepZf7VYfcOk2SLVv7Nlcsy/7oyIxq68KxaN+Sy8m0O6PDuHkBWQxLQEBzBTp05F8+bNMWzYMPz88896E+2I+Bi6FFBfEKLrvXQtSeTq3ITgOm9+acVeRZqdoKFtEmLz5s0YOnQoSktLWcc/+ugjPImcC0i0c+Ypye8Z6mMsLyAgAD/99BO++OILuLq6sh4rLCzEhx9+iOjoaOTl5Rn0vvquJX03P8b2AQBQomDUKxarGsOo2tzDl7uIXmGpkpZKW5HgAObEiRMYPXo0zp8/jyFDhqBZs2aIiYnBb7/9Zs72EQsydCmgoUFI5ffStSTR2B/1bJkcY04UGtTxCW2TPitWrMD48eMhl7PbPmfOHMydOxd+tbjn5Gn32Weoj7EOiUSC8ePHq6sda9q/fz86deqEHTt2CB6N0Xct6RuhqWpgr1qxyFenRihVm/l2lldAWB0oYh6Cc2BUlEol0tPTsWPHDuzbtw+PHz9GkyZNMHDgQERFRVXrZaHWYMo5UWNyQPjmfauST8KXW8NPCUNXHRjaJt4zK5WIj4/H119/zTru4OCAr7/+GsOGDQNQtYRnIexpbpz6GMvg+s7I5XKsWrUK8+bNQ0lJidZrwsPDsWTJEnh7e1fp3PquB8P7ADZVPlxV3qdyTh1ffwZUrf8wlD1d55WZPQdGhWEYvPrqq0hMTERmZiY2bNgAf39/JCQkoF27dggLC8PGjRs5v/zEthmTA8I372vIe2nmyvTwdYaTQfFI1caJjR0FkcvlmDRpklbw4uzsjKSkJHXwAtDus4agPsZ6JBIJPvroI5w4cQIdOnTQevynn35CcHAwUlJSqlzFV9f1wDW6q4nR+L8qrg5K9VSVkPfhojl1rKuPoFFU6zE4gKns/PnzOHbsGH777TcolUq0bNkSpaWlmDRpEoKCgnDy5ElTtZNYQFVzQAx9r+QsGZpsuYNR6YWsvJQt10vgbKIEPH2M/XwlJSUYPnw4Nm7cyDpes2ZNJCcno2/fvlqvoSQ/w1EfYx2BgYE4cOAA5s6dCxcXF9ZjBQUF+OCDDzB06NAqVU7WdT1wBTjvN3Nj/XttqDsKRzTE2lB31vFPm5ap34vrfaSOuvsWTxftkdHZ7WvBmePX0onRX5yPmI/BU0jXrl3D9u3bkZycjJycHNSrVw9RUVEYNGgQ2rRpA6CiQNX48eNRVlaGs2fPmqXhpIKphxQNXQqo6/n6HtMcQjaUhAHqODGcK5MkDKBQ/rdKQAkUlClZSzGrstSxqKgIQ4YMQXp6Out43bp1kZKSgrZt2xr9mYxlT0PL1MdYhtDvzLVr1zBu3DjOXCRPT0989dVX6N+/f5XqxpiSrs/FtSGrJr6p3eQsGaaffahenq25EaQl2NN1XpnZ68CsXLkSO3bswMWLF+Hs7IywsDAMGjQI3bt3h0SiPYS2ZcsWTJgwAQ8ePDC4UUQ4Wy9kxxfEVHWOG6gYOl4b6o4JGQUoUTzrPA3NLTEkaLt//z6ioqLw+++/s477+vpi9+7dVvtvYQ8dG/UxliXkO6O6NrKLylDn5EbIflyBp2WlWs/r3bs3lixZAi8vL3M1V2f7Kl+7QYo7vJ9LaL9j6gq6pmIP1zkXs+fAzJgxAy4uLli8eH54zYMAACAASURBVDH++usvJCUloWfPnpwdCwC0bdsWMTExBjeIiIcxtRxUy5ZNsXzYVypBVIAUnzYtMzq3xJCl49nZ2QgLC9MKXpo1a4YDBw7YZcdiSdTH2JbK1wYcJHjYdQQk01LwfCvtEcZ9+/ahU6dO2L17t9HnElp/iqt9la/d/Xf5c1KquuErsS2CR2Bu3LiBJk2amLs9xEDWjMj1rTTSVakX4C7NLVTlURbV38CYSphCqwlfvXoV/fv3x+3bt1nPa9++PZKTk+Hp6Wn0ZzEFe7gzoz7GsvR9Z/iuDV9XJT7IS8H8+fNRVqa9vLhv375YtGiR4NEYY1fo8bWvgYsCf0X7GfQaTTQCY1lmH4GhjoVoMraWQ45MbtTqAF2jLIYW4avcFn3Hz58/j7CwMK3gpVu3bkhNTbV68GIvqI+xLXzXxu0SBpMnT0Z6ejratWun9XhqaiqCg4OxZ88eQecxtP6UvvbllfL3K0L6HWMT+4nlaZcG/c/48eMNfjOGYfDNN99UqUFEPPg2XVRd/DUcGcieao/ReLgw6uBjzIlCrS0DuHi6MDrviHR1grru4nylEs47MiUq7tYiy3/H2k8+gEzGDoT69euHNWvWaK3QIMJRH2Pb+K4N1Q1K8+bNcejQIaxYsQIJCQms0ZgHDx5g+PDh6NevHxYtWoR69erxnkfITYQh7fN20e5QKo/OergwcJMwJk3sJ9bBG8Ckp6drZZUXFxfj/v37AAB3d3cAFeWmAaBevXqoUaOGudpJbJDqIueatknOknEGLwDUG5eoXi9kNVJRWUXJbr6OxdBOUJ2cyLExnEr2yZ/x9aZPADm7pP2IESOwaNEi3twMIgz1MbZN3w0KADg6OmLKlCno1asXxo0bp5UftmfPHmRkZGDx4sWcpQUA/TcRfAEFX/vG+Zeznqc5RZVfqoSbhMFaA3avJ7aJdwrpjz/+wMWLF9X/27FjB5ydnRETE4OsrCzcvHkTN2/eRFZWFqZNmwYXFxfs2LHDkm0nNoCvloOu4d+CSsueowKkiG7qqrcUXblS93saWjhPnZwInjq+J7cDGz/WCl6mTZuGJUuWqIMXY5IPSQXqY2ybIcUXW7RogbS0NMyaNQtOTuxtM+7fv49hw4ZhxIgRnCvGdE3rcE0Fq6650emFcJMAlS9xN41b8uQsGef2IrSRqn0QnMTbp08fNGnSBEuXLuV8fPLkybh58yZSU1NN2kCim60mdekqva2ZICc0sY6vZHdmZiYuOPho3Y2pRlb8NIaFdZ5PqQQOrwV+Xq71kFNELFbOnKCzlo0ptwcwhK1+DwxBfYxlmes7c/nyZYwbNw4XLlzQeqxevXrq0RjNaR0owbvbvKrPEFI/ytVBiRWveADQPbpryS0ATMUernNDl77rIjiJ97ffflMXkeLSunVr2nSNqPGNiDDQrlwpdMmivi0NVHeLqvOoui3Nuzje8ykUwJ4F2sGLgwSITkB56FDWXZuxyYeEG/Ux9qFly5ZIS0vDzJkzeUdj3hw4DBMO/s3aNb5YRzdgyC7VJQoG8eeL9D6XtgCwPGOWvusiOIDx8PBAWloa7+NpaWmoU6eOUY0g9odrWJgBMLKZm9bohJCORN/KgMpRvYTRzmmpHFhwnk9eDsnWT4H0H9jHnVyAkcuBDn0AsJd+G5t8SLhRH2M/nJycMG3aNBw/fhwvvfSS1uO/HkxFyfw+wMXD6mPFciX4FggZukt1jkyu87m00sg6+G76Vt5y4nmFboIDmOHDh+PgwYMYPHgwjhw5op6fPnz4MAYNGoS0tDSMGDHCqEYQ+8M1f7421B2LQ7SXHHMFO84OFaW6GVT8XzdHYHR6IWeeyf67ElZUz3fTperQtM5XVgxmwyTIf9vHfoFrLeDDdUCr19SHKr/MmM0vCT/qY+xPq1atcPjwYcyYMQMSR40fqccPgKRJwA8xgKwiUVuuhM491IReW75SCe9zJQxoI1UrMWbpuy68q5A0xcTEoLS0FCtWrMDBgwfZb/JfJjpVxSSVRQVIBXUS+lYzVZ7HzpbJMSq9ENPPPsSCThWd0MpbToL2VFJ1aJXPl32/AM4bPkLZ9fPsJ9eqC3y4FmjYnHW48mmErNIgwlEfY5+cnJwQExODbyUdkbc+Frh9hf2E//0MZJ4Foj6DX3APzG5fi7cgJdc1p6nybtRceXHDX9AeBTamCGbllYwSpqJv0My3I2yGLH0XwuDNHB88eIBjx44hJycHAODn54fXXnsNdevWNaoBpGrsIalLF10Jt6qE2dHpBVDqWcfElVybl5eH/v37488//2Q/2dMXGLsOqNdI6300E5CN6fjMwZ6+B9THWIYpvzNCrgOPpNtQysuBw+uAQ2sAxVOt9wl4rQ/SNizVWRxSVwkEBkD/BuVYH9YYAPDxqXxsuFrMeg7Xfm2GJuPrSiY2ZyK/2K9zvr91XEAJJnYxvJClwQEMsS1i/0Lro2s1E1ARUJQ/LUduqfZsqAMqOjeuDvXvv/9Gv3798Pfff7Nf9NwLFSMvdbTLoFtrhZEQ9v49IKZnqu+M0ACgyZY76p2ccfsvYOuMiv+roX79+vj6668RHh6u87xCthLQt1WIapk114COru0E9K2cNNdWBPZwnZtyFZLgKSSVQ4cO4dChQ/jnn38AAI0aNUKvXr3QvXt3g09OiD58Q44qOTI5Pn+hHPOuu6BMwX5MwgAru2oXq7p06RIGDBiAvLw89guebwt8kAjUYCeKMgA8nBmAqcjDiT9fRMPEZkR9jLgIroJd+SkNmwNTtgFp64A09mjM3bt3MWTIELzzzjtYsGABPDw8OM/Ll0+RWymfQleivSrw0pczZ+hjQh6vzrhSCzIzjXsvwUm8JSUlGDhwIAYNGoTvvvsOly9fxuXLl/Hdd9/hnXfewcCBA1Faqr3NOiFVoW/vEl+pBGH15ajpqP2cysXvVMWv3GftRdc3w7SDlxahwJh1WsGLhAHWhrqjWF6x1NOQfZaIYaiPESehq/EKNGu8SJyAXuOAqdsAn2Zar9+xYweCg4MxM2k3Z7FIXQm9H5/KR5sdubyjt75SSZWWWetLJqZEfssQHMAkJCTg0KFD+OSTT3Djxg1cunQJly5dws2bNxEbG4u0tDR8+eWX5mwrqYZUq5m4+oPKCbNaneN/Kt9pZZ87CqweDWWxRp2W9r2B95cDzm5ar5crqd6LpVAfI05CV+Px/qg3bFExGtNzHODAnhTIy8vDN1NGIHvtJ1A+eci6eZjdvhZP5huDDVeLdebOzW5fq0rLrHXdWFEiv+UIDmB27tyJd999F7Gxsahdu7b6eK1atfDJJ59gyJAhSE5ONksjCVFAu6ZMdFNX9VCkhwt3Z6K+0zq7F9gwASgvYT8h9F0gen7F3SAHP6mE6r1YCPUx4sT1Y871I65zNNXRGeg1viKQ8XlB+/Hf9gIL+gJ/HmdNT/GNn/AdlzDPbj74+gwG0Fm2AdAunKn6WLq2WyCmJziAuXfvHtq2bcv7eFBQEO7du2eSRpHqRd9+QlwjIEoAh3Iqdr/df1eCIo4RGGeHik4ze//3wOZYQKERcLw1EegXCzhwXwaqTpjqvVgG9THiJHTPJM3ncfJtAUzZDvQYU1EBu7JH94BvxwOb45B9Lx/471yGUHUj2TI5isqUcNa49J0YwMlB2HSxah+4whEN8WB4QxRq7AdHzE9wANOwYUOkp6fzPp6eno6GDcW1rwSxPq7S0qPSC9Fkyx29pf+zZXK02ZGLxTecUc5xyyWVANe2LQV2J7AfYBggcjYkPT6s+P85VO6Ehd5hkqqhPka8+DZ1Bdg3KKoEeJ17EDk6A2ETgMnbKlYFavptL7CwH9xjtkL2VAEnrUtY2MLaciVQ05FhBV61nBmtxQA0XWy7BAcw0dHRSE1NxYQJE3DlyhWUl5ejvLwcV65cwcSJE7Fv3z68++675mwrsUN8iXT5pUr1nY+ukY5smRwPtctJAAo5CrbE46uvvmIflzgCQxfBLXQQhr/gxhmYrAt1Z3XChuzKS4xHfYz94dv7JjlLpn/0xK8lMHU7HHtyjMY8vAusG4v87z4Fih+xqnYbMiZTUKZkBV4Fpfy5dMT2CF5GPXXqVNy6dQubNm3C5s2bwfx356pUKqFUKjF06FBMmTLFbA0l4mBoYTddHYPqzkd/9U2NW7CnZcDmOODCAfZxZzdg5HL4teuqblewt7D2Cq0qTIxHfYz90ZUAL6Sqrl8dN8yePwszX+6OvA1xwL8a623P7UH51dNweG8uCua+gzY7cnl3tObClWjMlfxL08W2yeBCdn/++ScOHjzIqpLZo0cPtGrVyiwNJLrZUmEjYypa6isIBVSMeFQu161TqQzYMBm4dop9vEYd1J+4Ftdie+r9DKqAxsOlYlfIgjKlVavsCmFL34OqsvU+5ttvv8Xy5cuRl5eH5s2bIyEhASEhIdZulsEs8Z3hK0TJACgY0VBnVV3NvqO0tBTe784CjqzXzmcD8O6772JTy48AN2FTuwwqSiRoTncZ0odZuhK3PV3nlRn7uQwuZNeqVSub6UiI7eCraMlZ0KoSfXdhDJ7tAK0rePF0ZuBa+hB3Vo4G/vmD/WAdb2DMWtzzbqr3M1RuS36l4WTV0DcAmw1i7IUt9zG7du1CbGwsFi9ejODgYHz77beIiorCmTNn4OfnZ+3m2Rx9IxqVRzb1BQMuLi7wi5qK7NZvVFTxzb3Oes9NmzZB4nEY8nc+B5q/ordtI5u5aQUvqhEjIXsbce3TRn2EZRkcwNy4cYNVJdPf3x9vvvkmmjQxfB8DYh+qUtFSdaFPP/NQa+hX846MnxI9ahXi9+UjgX+ush/yalxRoM7TR+8wsL7CVvqCMWIattzHJCYmIjo6GsOGDQMAfPXVVzhy5Ag2bNiAzz77zMqtsz2GbHgqZJp2dvtamFjSBsUfJwMHV1aMxiifZd3KC3KBNR8CnQYAfWMAt1pwdgDkCqByL+TsAAR7u6j/rRmMqHbF1jWiIrgCMTEbwQGMXC7H9OnTkZSUBIWCnab96aefYvjw4Vi4cCEkEuvPFdrLEK9YGFPRUvNua0FwHfV7qY7pm1pSu/s3kueOhjz/jsaJWwEfrgZqesKJAWRPFfBIus071CskUY+S+czH1vuYsrIyXLhwARMmTGAdf/3113H27FmrtMnW6dtpXsj0i+bzopu64lCOA3LCJ8OrYw9Its3AvzeusV90didw9SS8hs2D/IUQrZujMgUw5kShuo3GBCO6VkcSyxAcwMybNw/r16/HwIEDMWbMGAQEBAAAsrKysHr1aiQlJaF27dpWvwuhIV7LM7SiJd/Q6/IudVgboAnJj0H2n8CaDyGXFbAON3s5BI+HLscdhRs8nBk8fqpUTwnxDfUKCZoomc98bL2PefDgAeRyOby82Bt9enl54e7du7yvyzR2oxcLsETbggDs+q+8z/7/b+/Mw5q4uj/+HSIBxSWAglW0Wtyt1n3fd9xQK25o3e3PpRbFvVZb1FqrqHXBHdyr4FatRe1itRZBa/Wt1RYVta0bKogiAoFkfn+kiZnMTDIJCVk4n+d5n+ftnTszZ3Dm5Nxzzj3nsQwfJ+Vh/Fnt96pJ1P43S4UPzj3Dw0epCPJ7/Q3GP5bhs1ty5Khfz9tz8xXmVVP+N68KcntGY8uWLdi1axfX8M14hCdfjgNavAsEzwI8S3LkUrHQ3fNelhy8zQAA7mXlC/6N4h/LwEAOVrCiDYs1v9zmPIc1ceT3qSAIPZepvBjJSbw1atRA69atERMTI3h85MiROH/+PG7cuCF4vLDo3Lkz6tatizVr1ujGGjVqhODgYLsbV7bAEZK6xAwNGQNsFGimaKpDrJa4lCxMOJshHka6mQRsmwLkvuIM9+7dG1u3boWnp6fJ+y1oXIqTtJupZAVrygDUjdrWOLqOefjwIWrXro3jx4+jdevWuvFly5YhLi4Ov/76q13kspTCfmeEEmQNMdQBUnUFAFy6dAmTJk1CcnIybz4U5YEhi4CafE+8dju31PtY8hzWwhW+cyEsfS7JdWBevXqFNm3EE6PatWuHV69eiR4vDLQu3k6dOnHGycVrW8QKvQkZL4D05m8hgV5oV164xD9+/04T6zYwXkaMGIHt27frjBdj99N6YrQ1KtJzWTAMXteU8GB0/59qv9geR9cxvr6+kMlkvGrAT548gZ+fn52kch5MhZoB/rdqSlfEpWThrb0PoIi5j86/l8fjifsg7zIGYAx+2jIeARvHA7GfADkvedcyp1ilJc9B2AbJIaRWrVohMTERY8eOFTyemJho9zwTS1y8ruCOs/czNAAwN1CGqL/dkZrLwN+DxaQ389BAnSXYJt3fwxOPcvm2s7+Hmvcsyc88wbOzEw9qFBHLzZNoM3AUTrWYjnK7HulkCPJToXSx4niez3f1uoFFtoGeUaoBOaPChTY5vPlQZ1rc9r0wsMd7YM3VoKPrGLlcjgYNGuD06dPo16+fbvz06dPo27ev3eRyFqT8qLsx4OSpiYV1vT0YxKVkYfK5DE7l3GesHOg1HXi7K7D3I+Dxbe6J5+OAv84BgxcBNVsC0ISF9XN1tCUb9Cvw6i9cpDwHhZoLB8kGTGRkJAYOHIjw8HBMmDBBtyPg9u3b2LRpE65evYoDBw7YTFBb4ezuOEdxKVavDkxtbXoeACxyE3bBKlkZrrhV4GyrfJSbwT35h23ANyt513wrdDZ+afIeWE17JDzKZbA0xRN/M554pcrmzZe7AUq1cBuB1Fw3h/ibmoOjvAcFwRl0zOTJk/H++++jcePGaN68OaKjo/Ho0SOMHj3arnI5A1JyzPR7FU395TmGVfPErpvZvPL+mUoWs5Oe88Y1MMCb9YEZB4D4tcBPO7iLnWcPgY3jgJaD4Nl/JhY0rgDgtZFiamu0qeegNiOFh6gBU758eV0lTC0qlQo3btxATEwMp0omABQrVgzNmjXDgwcPeNcqLMjF6xzotk4nPefUWklXsjplAYDz/8GywLFI4LRBfgTjBgyOwO0m/Xn3yVax2H4jW3B7d8liDLzc3axSdbOwi1m5Cs6oYwYMGID09HQsX74cqampqF27NmJjY1G5cmW7yeQsCG2p1pZKECpSma1iceqeEiWLMbxdRHkst06TIO4eQN8ZQP2uYL76COzjO9zj52NRLOUX+NWMAgLbA5C2NdrYcxirG0NYH1EDpn///jzl4uiQi9e+mPNDrt26mJ7LNSD03bY6BaHK14SMLhzmXqSYHHhvBVCvs6hMYqHqZ0oWy1pIr1EhBhWzshxn1DEAMG7cOIwbN87eYjgdxrZUe8fcFzzHGrkkTJV38N6m43h4aA1O7d6kWQz9x8vH9xEcHIwxY8bg008/lZSfZ+w5iMJF1IDZsGFDYcphNcjFax8s+SGXlMyblwvsnAH88SN3kocXMG4dUK2ZRfJqvSzFZdDlwfh4MFjW3LxEXSpmZTnOqmMIyxErVmeqYm9BaquwAH584ga0DQO82wBfzQee3OXMiY6Oxvfff4+yAyPwpFJTUTlMPQdRuEjeheQsDBgwAEuXLsXy5cvRtm1bJCYmkou3EDD2Qy6GWKgmwEumOZadqdlpZGi8lPQBJm+32HgBgPRcNSb9nMFxTWcLdbU2gdQdVQRBiGNsF5DQMXO5l6XSfJNVGwIzDgIdRgIG3r9//vkHT1aOguzgYk1PNQM5CMdD1IA5e/asxRctyLnWYNy4cbh69SoeP36MM2fOcGo2ELZBbIVk7IfcmNIKq5oLJmo0kHKRc9z3jQAMXBkLplKdAsmblc+v92LK4BLCmBFGGMeZdQxhXUICvbCmdRn4eLzWB8VlQGJqLmYnGq+5IgUWmh1OAAC5p6aw3ZSdQLk3eXNV576CbMUA4NYFKp/g4IgaMIMHD0bXrl3x1Vdf4cWLFyYv9OLFC+zduxddu3bFkCFDrCok4djEpWQJ1qMEAG+58BHDxmnA61orzYo9RdT/DQB770/OOYo3a+DnH04hCQESeySZj7meE3PqRxBcSMcQhuh7QdOVLLYlZ/MSeC2FZwO91UjjjWn/Hs8bo3p6D1g/Gj0uRiLI31bahigoojkwly5dwrJly/Dhhx8iLCwMDRs2RIMGDVClShUoFAqwLIuMjAz8/fffuHLlCi5fvgwAGDZsGHbu3FloD0DYn4hLmaIGxct8FnEpWUZb1us3Tntb+Q969B6Ahw8fci/05jvI+b8N+CW7DO5lGWyttiLmek4ooc9ySMcQ+kgpEKdFeqNXPjIGULMaj4xKXhzoNxuo30WTG/P0H87cLVu24NSpU1i/fr3RIouEfTDZSiAtLQ379u3Dt99+i8uXLyM7m1tTo0SJEmjcuDF69uyJQYMGwcfHx6YCE1wcof6Hd8x9o8pEanlwv0e/Q7lpIjIyDAyUWm2AUasAjxKC2y2thSO3CjCFI7wHlkI6xj5Y852xRikBU3rEkErmNHzVgwHwbHRF/v2U2cDx1cDPezg7lbSMHz8en3zyCby8uM9VmGUUnPk7N4alzyW5FxIA5Ofn4969e0hPTwcA+Pj4oFKlSg7RgdraOEttD0d4oU01XdQqDC2Ciuqvc0BMmEaJ6NMwCBj2mWbLtAVU8pIhK18tWjPCR87gmZJ16H9jKTjCe2ANipKOsTfWemeEegNZshiQ1Lz1P7SLInONHv1zRRdSDy7D68DHuHPnDu9YlSpVsH79el1epbWeXSqu8p0bYvNeSICmkFSVKlXQqFEjNGrUCFWqVHFJxaJ9KbU9crRbguNSskyeWxQxtUvAMCzDC9P89i2wdTLfeGkzFBj+hcXGCwPg6qDyWNa8DE8+BsDYmsWxrEUZBHjJcC9LhYhLmQhPSEe92EfwjrmPerGPeP/mcSlZRo8TBaOo6BhXwpIdiEJI3W0kd4Mux8zckK9+fppY/tqSIR1x7tw5vP/++7zz7969i169emH27NnIysqy2rMTlmH2NuoXL17g9OnTiI2NNdpC3pmhl9I8dDsIBBJ2hRJaOYrj3FfA7lmaYnV6ePacBPeBHwFulu/01yo3rXyVvGS6xoyb2ynQwt+DZ6huS84WNVzJsC0cioKOcSWsVUpA6DsdW7M4R6/4eDBY30bBqYprzOiRu0G0IavQ/bTHvby80GTCAsin7gR8K/Guu2nTJrRp0wb//n7BKs9OWIbkXkiAplfJypUr8erVKzAMg8OHD8PPzw9paWl4++23sWTJEowZM8ZWshYaVNvDfLSFnaSE3kICvcCyLGZ8+jleHFvHv9iAechpGwp3aBTWs1xWk3Bnhq/Y0HASKjxVL/aRyaRB/aJ0VLTO9hQVHeNKmCpCJxUx3RFppH+nYRK9tweD/HwVMlVuksLCxgrSRVzKhLJqY2Dmode5MXrcuXMHWD8SaBsK9AoD5MV1x6iMQuEgeXkbHR2NxYsXY+DAgYiJidH1JwE0PYh69uyJI0eO2ETIwoZqe1hOSKAXrg4qj2ejK+LqoPKCykGtVuPipk/5xotbMWD4Mo1CgKbfiVcxNzwbXREb2ypMupe1R7UrKQBGwz1SDVLtPDJsbUtR0jGuhDVKCVjLu+lVzA0zAvOM6h+p6L5rjxLAgHnA5BjAJ4A7iWWBs7uB5QOA25cAUBmFwkSyAbNp0yb069cPX375Jdq1a8c7Xr9+fdy4ccOqwtkLqu1hO5RKJSZMmIAtW7ZwD7h7aloDNO7NGdYqETH3sua/WV1YKOM/xQXApEKUapB6/1dciwxb21KUdIwrYSwUYwz9fLL/+zlDUtjeMActPCGd951/dktulbAu77uu1gyYdQglOwzjT376D7BuJEp+8wWWN5KTR7aQkBxCunv3LiZOnCh6XKFQ4NmzZ1YRyt5QbQ/bkJWVhZEjR+L777/njJcpUwYe/7cBj8u/wztHX4mIuXtv3ryJK24VEHEpExPOZiDgv51HlnSVFeS/w0LzybC1HkVJx7ga5vYGEqoFJYS+d1Oo31p0cjZvF1KOmrFKWFfwey9REqsil8P//hBMmTIF//yjVzeGZfHyhx1Ydfccqq1fjxYtWhTo/oRpJHtgFAoFnjx5Inr8zz//hL+/v1WEcgSkhEII6Tx79gz9+/fnGS/ly5fHt99+iyWD2lvs9Yp/LOOtwsS2TRt2ldVfOYrKrmSNVg6md8M6FDUd4+oY27EntWid/gJG6ByxK1gS1jWUF4CoZ6ldu3ZISEgQ7EqekpKCoKAgfPTRR7yaRoR1kWzAdOvWDTt27BBcAf3xxx/YuXMnevbsaVXhCNfg4cOH6NWrFy5c4GbslwuoghMnTqBu3boWu6EBIOpvd8kVPIW6ymoN1UoioSBvD0ZnIAHcysFkvFgP0jGug6mcFikGhuECxhyjxJIEYiF5AYguZEuWLIkVK1Zg+ob9kPlW5FyPZVmsX78ebdu2RVJSklmyENKRbMDMnz8fANCyZUt88sknYBgGe/bswZgxY9C5c2f4+/tj1qxZNhOUcGzEVlu3b99G9+7dcf36de4JFWoi8/924qKqnG7IUq9Xaq60TrWmPDpCuU/uDJCRy9K2+kKAdIzrYKoUhbeH8DfrBoguYMSMEsMrebqxgt+5uR4hY9+49lqKmPtYlfM2VDMOA60H8+bdunULPXr0wPz588kbYwMkGzD+/v746aef0L17dxw7dgwsyyIuLg7ff/89QkJC8N1331GJ7yKK2Ool8ngSunfvzo0TA0BgE2DKDuR4+VrFCPD3EK+ya45Hx9AL5CNnwDCAWmQ+7T6yLqRjXAeTO/ZEHKYKOSO6gBHbXDFGl8yv+c7nVVPyzrXUI/Rvlopn8OhfS/conl7AwAXAxG2AdwXONViWxbp169CuXTueF5ooGGa1EtDn6dOnUKvVKFu2LNwKUGyMKBiOUFpasCR3yq9gtk4Gm/OSO163A/BepKalPfhtBixhzS+3sTTF0+rlvE2VNjfs8WRPHOE9sDakY2yLLd8ZsW/HQjONlwAAIABJREFUVAsAU/pASp0poecyJY+UNgZanRJxKdP43Jws4OgK4Hws75CbmxsmT56MefPmoXjx4gInG8cVv3OgkFoJ6FO2bFn4+fmRYiH4q5c/fgQ2TeAbL02DgdFf6owXwHSsWkrp/iA/lcX5M8Yw5mGh3Ue2h3SM8yJWITcrT424lCyLSxJYGmY25RGS0sZAG1Iy6Xn19EKl0RE4cuQIAgK4dWPUajXWrl2L9u3b4+LFi5JkJ8QhzUAUGI7SuXBE05QxL5czp2voBHiGLgFkr3fuF5cx6BYgFzVQzClupa/YFjQuhYhLmQXuVySmTGUMaPcRQRhB117EINclXcli6i/P0S1AXqBaW1IWNvp5KmJhBrF2I2JoPT+mWNC4FDp06ICEhASMGjWKd/zGjRvo3r07Fi5ciJycHJPXI4QhA4YoMLrVy0/bga8+AtTcFcrChQsRu24Z1rb15nhJhlXzxN5bOaIGiiU9qSyp6CmmDMVi7hvbKsh4IQgThAR6wasY/ycmW8Xi8J0ci72mQt/4hLMZUPz3/cY/lvHyVIQQajdiakeiNmzlbsTK0T9UunRprF69GocPHxb0xnz55Zdo3749Ll26ZPK5CT4W58AQjoEjxERZlsWw6R8jPobbGsDNzQ2rVq3CyJEjBc+zNE4OaJSEVpk0UD/QFbITU1hi+SqGxbG0eMmAVyrAW84ADPAsl3XogoaO8B4QzkVhvDPGvuEt7SxbCJjKV/F0Y1HC3U20FhSg8aIaW4gI6QVtDgwATD6XAaVYdv9/+MgZLGvx2ih78eIFPv74Y+zYsYM3183NDVOnTsWcOXPg6enJO67FVb/zQs+BIQgAUKlUCAsL4xkvcrkcMTExosYLYDoubcxVq+9d+fyWu8nVlti9xApqZak090hXssjOBza3U1BBQ4IwE2PfsKU7EE3loOSoGaPGCwCoWZjckTismqeuaKWMAYZV89Q1dTVlvACvw2Vaj27p0qXx5Zdf4uDBg6hYkZuorFarsXr1anTo0AG//fab6YsTAMiAIQpAbm4uRo8ezVtRlCxZEnFxcQgODhY8TxuyMRWXlppYd/hRMZOF7MQUqamdB9p7UM0XgjAfYzktlpYhsEbvMcNrCPVY2nsrR9fiQMUCe2/lIC4lyyy5hXRH586dkZCQgBEjRvDm//XXX+jSpQs+/fRT5Obm8o4TXMiAISwiMzMTgwYNwtGjR7kHvLzhNjkao+9VN5mYK4R+XFqbWGfChhGt06JPtwA5bywuJctowp4+VPOFIMwnJNCLl8irRd+IkJKUq0XoWzbER86ILn4Mc1+Ecmqik7NF8+/MNaCEdEeZMmWwdu1aHDhwQNAbs2rVKrRv3568MSYgA4Ywm7S0NPTt2xdnzpzhHlCUBz7YiRfl6yJdyUpOzNUilMgXEugFtYksLSkv8al7St5YxKVMUS+QIdRxmiAsY1nzMkZ3HIUnpGPC2QzJifdC37I+nm4slrUoo0sSBmC0f5m5PZakeIb1MaY7unTpgoSEBAwfPpx37K+//kLXrl2xaNEi8saIILkbNUEAwL///osBAwbg5s2b3AN+bwH/txnwfoN3jn4XaDFPBgOIFoUL8JIZ9dj0LJeHb5/IjYaRhM6X6lWhmi8EYTlaY0FbQ8XbgwFYYMLZDMxOfI50Jf+7zVaxmJ34XDBPxVRxyfEVX+nOk5KzZm6PJcPncWPEu2lL0R1lypTBunXrEBwcjA8//BAPHjzQHVOpVIiMjER8fDyioqLg5UU5ePqQB4aQTHJyMnr06ME3Xiq/DXywU9B40WIqMdfYKkVsxePjodkVMKdaHme1JYTQgknsnm74r40AqOM0QVgD7Rblze0UyM6HzkMrZLxoSf+vC7w+xsK+2p2GQX7mhXulelcNw9sLGpdCgJdM1HgBzKsX1bVrVyQkJCA0NJR37Pr16+jcuTM2bNgApdK4B6ooQQYMIYlLly4hKCgI9+/f54x36NABFWdsB0p6Gz1fqyS6Bch5CsidAbLy1aLxb6FO1VvaKXB7WAXOSstYWX8hJSNW52VTOwVuh1Ywu9onQRDGMRZCFptv+N9iLQgs9ZJKCQn5yLmtSaTUmamk562RikKhwPr16xEbG4s33uAuCFUqFaKjo9GhQwdcuXLFrOu6KmTAECb56aef0LdvX6Snp3PGg4ODsX//fnzSWtzzAmgMlAWNSyEuJQt7b+XwFJAaQHqucM6MFqklxMW8MELjQoYReVsIwnaYmwxvOF/sfBbSwkVC6OsBMbzc3UzmzehT0LBzt27dcP78eQwdOpR3TOuNWbJkSZH3xpABQxjl66+/RkhICLKyuAbF6NGjER0dDQ8PDwD8lvb6MP8dFPvoDYfM3bYc/1im28GQlaeG3OCtNqZMLO2tQhCE+ZibDG84X+x8Hw9GpwP6XPQ0u32IVg+I6TGphhRgvYWQQqHAhg0bsH//fpQvz/Uuq1QqLF++HB07dsT//ve/At3HmSEDhhAlJiYGo0aNQl5eHmd8xowZWLlyJWSy1yW7jTmFlWpIa4Kmh9S5cSlZ+OyWXLeDIV3JQqkGvIppclh8PBgUl2kSBgvSF4kgiIIjFK5xZzTfqyFCCw+h82WMxoOr1QGPct1Mtg8RQ2qOntg8bR6ONRdC3bt3R2JiIoYMGcI7du3aNXTu3BmfffZZkfTGkAFD8GBZFpGRkZg2bRpYlmuaLFmyBPPnzwfDMIhLycL//ZwhKaYttQmaFqlzIy5lIkfNV36v8lmMqVmckzAopS8SQRC2QyhsG9VWgfsjKmBLO4XJcK7h+T4ejGB+m6XFJ8Xy4qQYUrbcrahQKLBx40ZERkbyvDH5+fn44osv0KlTJ/z+++82ub+jQr2QnBxr98ZQq9WYP38+oqKiOOMymQzr1q3TxWTFegiJUem/PkJSztH2HJGyijHWa0Umsr1RrC+SM+OqPVII2+Fs70xcSpbOk6vtS2as/xnA7ZlmrO+R/nW7Bchx6p6Scx+hc4XksXUI+ubNmyhbtizmzJmD/fv3844XK1YMM2bMQHh4ONzd3W0qizWx9F0kA8bJsaYSysvLw5QpU3gfhqenJ2JiYhAUFKQbM9VQTR99gyQuJUuw9gMDTSJeJTMVgTly6N/r2eiKJuc5E872Y0TYH2d6Z8SaK0pdQIktiow1bXTEfDj9f7Nvv/0W06ZNQ2pqKm9evXr1EBUVhXr16hW2iBZBzRyJApGdnY3hw4fzjJfSpUvj0KFDHOMFMJ2j4gYIuoJDAr3g5c5/7bTGi5T4sX7Z8aw8NcTrZgojFJ4yp5Q5QRCFi9AGAHO2Y4uFlMSu6wy9z3r27InExEQMGjSId+zq1avo2LEjli1bxsthdCXIgCGQkZGBAQMG4OTJk5xxPz8/fPPNN2jVqhXvHFM5KmqIu25NdaE2hmHfknQlK7mfESAcpxbqhUK5MgThOJi3/VrYsBG6RkF0kSPg7e2NzZs3Y/fu3fDz8+Mcy8/Px9KlS9G5c2f88ccfdpLQtpABU8RJTU1F7969cf78ec74m2++iZMnT6J+/fqC50kp/iRmCFhSjVeLcN8SBj5yRpfYZwwh17Azr8IIoihgSjfImNce39IyYQNG6BoF0UVC2MuT27t3byQmJmLgwIG8Y7///js6duyIL774wuW8MWTAFGHu3r2LHj168KzzOnXq4OTJk6hataroudrdAD5y4yaDkCEgtpXSWDVeLWIro2dKVlfPxVgxO6HwlLOvwgjC1TG1YFKz0NVymhGYJzg3K1/N0yvW3E1kb0+uj48Ptm7dil27dqFcuXKcY3l5efjss8/QpUsXXLt2rVDkKQzIgCmi/PHHH+jevTvu3LnDGW/evDm+/fZb3lY9IUICvXA79PX2RzEMDQHeVkg5A4YxXY0XkLZiMlcpWXsVRhCEddHqDDEbRv9bDfJTCS6u0nNZnl6xZjVuR/Hk9unTB4mJiXj33Xd5x/73v/+hQ4cOWLFiBfLz8wtVLltABkwRJDExEb169eJlr3ft2hWHDx+GQqEw63raKpZiRoyQIaBfAdfL3Q1KNfe42IcvZJx4urEc48RcpVTYNR0IgniN1LBLSKAXNrZVSPpWxTYLCOkVoWrcUmXSnye2G9IcT661QlC+vr7Ytm0bdu7cibJly3KO5eXlYfHixejSpQuuX79u0fUdBTJgihinTp1C//798fz5c874oEGDsHfvXpQoUcLia1tqCEgJ4Wg/7AlnM1C8GLdb9LxqSk6TNe08ANjcTmFyZxP1RCII+2Bu2MWwb5GMeW2UGJ5jqUEhVSbDeWJI9eTaIgTVt29fJCUlYcCAAbxjV65cQYcOHRAZGem03hgyYIoQsbGxGDZsGLKzsznj77//PjZu3FjgwkeWGgKmQji8nUe5LNKVLLw9NMZRkJ9KcJ45CoB6IhFE4WNJ2CUk0Eu3WNKeavitx6VkiSb0G+obQ6/H7ER+sU0hmaR01jbHk2urEJSvry+io6OxY8cOnjdGqVRi0aJF6Nq1K/78888C3ccekAFTRNi4cSMmTJjAs7Q/+ugjfP7553Bzs86rYIkhYMpzI6YotDHt+Mcy0Xm0m4ggHBdLE+hNfesRlzIFvSIMwDEoguMfY/zZDM6ix7DIpphMxmS0xJNr680EwcHBSExMRL9+/XjHLl++jPbt22PlypVO5Y0hA8bFYVkWS5YswZw5czjjDMMgMjISM2fOBMOYU0nF+pjy3Bj7gLNVLKL+djc6j3YTEYRjYmkCvdg3/W+WCn0ueoqGj1hAp1fCE9Jx5pH0bcXmNHS0xJNbGJsJypYti+3bt2P79u3w9fXlHFMqlYiIiEC3bt3w119/We2etoQMGBdGpVJhxowZWL58OWfc3d0d0dHRGDt2rJ0k42PMc2PqA36Uy6Be7COUEJlGu4kIwjGxNG9O7JtmoOlGLYb+RoPtN7JF5xkiJFO3ALngXLFxUxTmZoJ+/fohMTERwcHBvGO//fYb2rVrh9WrVzu8N4YMGBdFqVRi3Lhx2LZtG2e8RIkS2L9/P/r371/ge1iaMS90nrFrmS6ax+DfLBWEFl3uDGg3EUE4KJbmzYnpBGMZKYbGgLH0FV15ByMynbqnFDxXbNwUhb2ZoFy5ctixYwdiYmLg4+PDOaZUKvHJJ5+ge/fuSE5Otsn9rQE1c3RyhJpgvXz5Eu+99x5+/PFHzri3tzdiY2PRtGnTAt/X0iZoQue5MwDDgLeVun15d3wd5Kc7T6gJpCm8ijG4P6KCWec4I87UmI9wDJz9nQlPSEd0crakTmjazvT6zWJ9t983asTI3YD1bRSi+sw75r5ono2tmsXa6t/syZMnCA8Px9GjR3nHPDw8MG/ePEyZMgUymW282dTMkQAApKeno1+/fjzjpUKFCoiPj7eK8QJYnjArdF4eyzdeAODMozyEJ6QDkF40z5CsfJZ6GhGEC3L4bo4k44UBBHcrjapR3Oh5SjWM6jNXKoCp9cZs27aN543Jzc3FwoUL0b17d9y4ccNOEgpDBowLcf/+fQQFBeHXX3/ljFerVg0nTpxArVq1rHYvY0l0xkJK5ibUauPUhvVdfDykJx7TLiSCcC3iUrKQnmvafGHADytpF1qRrXwwtqZxI8aYvnK1ApgMw+Ddd99FYmIievfuzTv+66+/om3btlizZg1UKsfYGEEGjItw69YtwXjlO++8g/j4eFSuXNmq9zO2yjBWg8Xc1YmKFa7vkqlkIZf49v6bpYIi5j4UMffhu/2+zqtDEIRzYmxR4gZWl0MiZuJoDZPIVj5GPbrG9JWrFsD08/PDrl27sHXrVnh7e3OO5ebmYsGCBQgKCsLNmzftJOFryIBxAa5cuYIePXrg3r17nPE2bdrg2LFjvMZe1kBKN2qpjRyNIWPEw04li2k7ULOo5CWDFNtIxQLbkrPJiCEIJ8aYZ+STGkrdbkYp7U0WNC4FdwGVJHczvQHAVQtgMgyDgQMH6trOGHLhwgW0bdsWa9eutas3hgwYJ+fXX39Fnz598PTpU854r169cODAAZQuXdom9zVcfYhhrJGjFEbVKG6yA/WFNtm4Oqg8Vrfm90kRw5wtlARB2JfwhHT4br+v86SKeVZ85IyuMjcgLcwTEuiFqLYKTvNHHw/GaAIvYL2+RY6Mv78/du/ejS1btvB65OXk5ODjjz9Gz549cevWLbvIRwaME3Ps2DFMnToVmZlcL8fw4cOxY8cOeHp62vT++qsPsZwUb4FxU80ftYytWRyRrXwkJ8uZYxyZqABOEISDEJ6Qjm3J2Sa/2eIyBstalOGMSQ3zaDcJZIyuiIzRFXF7WAVJuymt2bfIUWEYBiEhIUhKSkLPnj15x5OSktCmTRusW7eu0L0xZMA4Kbt27cLIkSORl8etJPnhhx9i7dq1KFasmMlrWHUFIaZcjCgdU6W4I1tpsuHNSZaTahyZEcUCUDRWWwThiEjxlhrLP9HqhM3tNB6ECWczJNWf0kdqv6TZic9dVk/4+/tjz5492LRpk6A3Zv78+ejVq1ehemPIgHFCvvzyS3zwwQdQq7l7jyMiIvDpp59Kag1g7RXEM5H6LGLjgPEEOf1jliTLmcq1MbWFUp+itNoiCEfDlOeFAUzmnwh9w5N+zsDkcxlmd5021i8pXcm6tJ5gGAaDBw9GYmIievTowTuemJiINm3aYP369YXijSEDxolgWRYLFizAwoULOeNubm5Yu3Ytpk6dKvla1m58aElNhAWNSwnuJNKvnmu4fXpzO4WkZDmxcJKMeR2akgo1iSQI+2HKWyplZ6PU+lOWdp0Ww1X1RPny5fHVV19h48aNKFOGG7bLycnBRx99hN69e+P27ds2lcN0nIFwCPLz8xEWFobdu3dzxuVyOaKjowX37RvD2o0PFzQuJViZ11gWv9YImZ30XFfTwUeuiWOHBHrxqvZqVzSJqbk4dU+Je1kqBHjJML6iDEJFHEMCvayyK4CaRBKE/RhVozi2JQuHkcR0TFxKFiIuZep0hFhzRyHM6TptyfVcBYZhMGTIELRv3x5hYWE4efIk5/j58+fRunVrLFiwAO+//z7c3KzvLyEPjBOQk5ODkSNH8oyXUqVK4csvvzTbeAGsX0XS0poIIYFeuD1Mkzy3pZ0CXu5uuhi1WJw5Ojmb46b97Jbcpm5aV6q4SRDOhrbgnKEnRkzHxD+W8UI+5qS8Se06rUWr78Q2Mri6nnjjjTewb98+bNiwgeeNyc7Oxty5c9GrVy+beGPIgHFwXrx4gYEDB+L48eOc8bJly+LYsWNo0qSJRde1RRXJkEAvLGhcCgFeMtzLUiHiUqZZDR6lxpkNR3PUjE3dtK5WcZMgnI3IVj5IG1VRt0sow0jdlai/3XkLHxbgGTHuDHghbKHvekHjUqIGUCUvma4GzLLmZYqsnmAYBkOHDsX58+fRvXt33nGtN2bjxo283M2CQAaMA/PkyRP06dMH586d44xXqlQJJ06cQIMGDSy+ti2qSIolu4YnpJvMzC9InBkwz01r7o4iV624SRCuSGqusLnBApxvOKqtAuvbvO6tJmNe56zo64SQQC+MqVmcZ8QI1ZMp6nqiQoUK2LdvH9avX8+rQZadnY05c+agd+/euHPnjlXuRzkwDso///yD/v37IyUlhTNeq1YtHDp0CBUqFLzDsrVyRLSIJbvqd4zVGjXa+2uRaoAI9TYBpLtpxfJqDOXRztWPo2u72BIE4bj4e7B4JGDEVPKS4eqg8oLnmNIJka180MLftD6wtk51RhiGQWhoKDp27IgPP/wQ3333Hed4QkICWrdujYULF2L8+PEFyo0hD4wD8ueff6JHjx4846Vp06aIj4+3ivFiC8SMELFmavqIGSA+HgxnRTOmZnGem9bTjZXsppW6o4i2ThOEdSjsGkqT3swzK5QjVSe4atsAW1GhQgXExsZi3bp1PG/Mq1evMHv2bPTp0wd37961+B5kwDgYFy9eRFBQEB48eMAZ79y5M44cOcJrrmVPDBWTt1x6qpyhsSOWZ7KseRmO0ohs5cPZHi1jgBw1MDvxOd7a+8CkkjTWRVv/PNo6XbTYvn07evfujcqVK0OhUODvv//mzcnIyMCECRNQuXJlVK5cGRMmTEBGRoYdpHUeCnshEJeSpcuB0aoTU6Ec2mVoOxiGwfDhw3H+/Hl06dKFd/yXX35B69atERsba1FujNMYMEVBwfzwww8IDg7myTxgwAB89dVX8PJyHItfSDG9zGcFm6IJoe9x0YZqpCodbbJwcRnzX5ErBulKFum5rEklaSzUpH8eKbWixatXr9CpUyfMmTNHdM64cePw+++/48CBAzhw4AB+//13vP/++4UopfNh6ULAHK+Ndq4i5j4mnM3Ao1zNz5qKfe15MeYtMbbLkCpwW4eKFSsiLi4Oa9eu5XljsrKysHz5cvTt29dsb4zTGDCurmAOHjyIIUOG4NWrV5zxcePGYcuWLZDL5XaSTBghxaRUA6XkjMkGjwC3UJ3WEAKkKx1TSb9iStJUhV7tebR1umgxadIkTJ8+HS1bthQ8npycjO+//x6rV69Gs2bN0KxZM6xatQonT57EzZs3C1la58GShYA5XhtD/SElXG2ImPe3W4CcwshWhGEYjBgxAgkJCejcuTPv+Llz59C6dWts27ZNsjfGaQwYV1YwW7duxbhx43h9jWbNmoXly5dDJnO8H03RDtG5rC7kI9aPyMeD0Rknlq7QpHhChOZIafh4L0tFW6cJDhcuXEDJkiXRvHlz3ViLFi3g5eWFpKQkO0rm2FiyEDBHJ0jZvWhKV4jtHjp1T0lhZBsQEBCAAwcOYM2aNShViqtPs7KyEB4ejn79+glGWQxxmV1IphRMdaFSrYBdjRuWZbF161Zs3ryZd2zGjBkICQmR1BjLHs/g7+Gpc9Vyx9U6ecZXlOGzW3LkqF8bAp5uLMLezNXNuZdVHPwKDcC9rHyjzyV2fzFZtMQ/liHqb3ek5jJwA6AWuLe/hxoN1A8wN/D1XH8PFpPezEMDdRYc1R62x3sg9l25Go8fP4avry+nzxjDMChbtiweP35s9FxHXkDZWjYxHTC+4ivRe5ujE8Tm6iOkBwxpAOBQQ70BdabFusnWOPL7ZA4tW7bE3r17sXjxYt4i4OzZs2jZsiUvF9QQlzFgLFUw9lLAarUac+bM4RkvxYoVQ1RUFAYNGiTpOjdv3rTLMyxyyxJsHbCouQ+q/+ddqV4deKO88a2HAZcfCZb5DvAqZvS5hO6vj9wNULIyNDtXQndfAFia8vocoTP1n6F6dWBqa5N/CofAXu+BI7N48WKsWLHC6Jxjx46hbdu2NpXDUf9dCuOdMdQB3nIGYBgsvOGBLfe5+kCbC8dC2GMipBPE9IcWQ52kj6kyCZbqJlviat959erVceLECSxfvhxr165FZuZr75ZhOoUQdjVgHEXBFDZ5eXmYNGkS4uLiOOPFixfHjh070K1bNztJJh39EJDUughahTHhbIZuviU9lPj3z4e33A1gNCEsbw8GmUpWV8lXG7suXgyCBo+M0eTe6Bey0r8H4ZxMnDjR5EIgICBA0rX8/PyQlpYGlmV1iySWZfH06VP4+fkVWFZXRqsDjNVgAmB0QSKmE4T0h7bubiUjtZuk1IOyVDcR5sEwDPr374+hQ4figw8+wE8//ST5XLsaMEVRwbx69QojR47kFfcpU6YM9u/fjxYtWthJMvMxp2iTmMJY07oM1rQuY1HBOO39DVcl9WIfIT2Xu3LKVrHIFlmoaROHpRS3I5wHX19f+Pr6WuVazZo1w8uXL3HhwgVdmPrChQvIysrihK0JcUzlthjLZSmulzJj6DkZVs3ToLnrK0xt/ZbFsmi/+ZBALySm5mL7jWzdAmdYNU/SCTaiUqVKOHz4MHbs2IH58+fj5cuXJs+xqwFT1BRMRkYGBg8ezIv3lS9fHgcPHkTdunXtJJntMaYw9ItCCXlpzFUY5m511npehGQjZVU0SE1NRWpqqi7nLDk5Gc+fP0elSpXg7e2NmjVrokuXLpg2bRpWr14NAJg2bRq6d+/uUi59W1KQ0gTpSlbXiX7vrRzOYmPvrRxOyQUpOSJSZIlLycLeWznQqgYVC+y9lYMW/lmkF2wEwzAYNWoUOnbsiPDwcJPznSYHxtkVzMOHD/Huu+/i+vXrnPGqVavi8OHDqFKlin0EKySkKgypZf6NEeAlE4xd+8gZZKvAcwmLrfyo5kvRITo6GsuWLdP9t9YzvH79eoSGhgLQ7BacNWsW3n33XQBAUFAQvvjii8IX1kkR+y61O5KM5bIAmu9W6w0xHDe12DD02njLGcFmsW4M4B1zHwFeMmTlqWlhYyfefPNNHDhwwOQ8JiMjw/IOeoXI0qVLOQpGi76CycjIwKxZsxAfHw/gtYJRKBSFKqsht2/fRv/+/Xnbwt5++20cPHgQ/v7+Fl/bWZK66sUKJ8Tp9ycRm+MjZ+Dl7iYaYjL8GxgaQoDGUFnTWtPq3TBcFXEp06Rsjo6zvAeE41DY74yp79JYDowpGADPRlcEIE0fyN0AlgXyLPz1YwC79Edz1e/c0udyGg/M3LlzMXfuXKNzFAqF4JZke/L7779j4MCBvJ1QLVu2xFdffWV346qwkJIQJ+bxSFeySFdqjknxyphKMBY6j5L1CMK2SEn81x5z+y+x3hCZyLi5dWWUak09Kq9ibkbvJ4Z+YTv9ZyMKF6cxYJyRX375BUOHDsWLFy844z169EBMTAyKFy9uJ8kKH7GEOEDjeTFHiUhx45qTYCx1RxVBEAVD6Ls0DO9sbqdZ1AktKoZV8+TkwGjHjS02jBXdvD1M42H1jrlv0fNYI6REXe8thwwYGxEfH4/Ro0cjJyeHMz5kyBCsXbsW7u7udpLMPgglxO28kY1dN7OhVL8ek4q181PMMXgIgrAOluxObOFv3g++qdwbY3P0vTRi6qkgushaeX9FFTJgbMBXX32FKVOmQKW9RJ9JAAAdDUlEQVTivtiTJk3C4sWL4ebmNB0crIaQGzePhWA1ORkDqFmNUsnKVyM9lz+JehIRhPMjdXeiPuYuNqSEr8XmLGv+eneTWI5eQXSRlO3chDhF75fUxqxfvx4TJ07kGS8LFizAkiVLiqTxApi3SlGzmoS8q4PKY1nzMtSTiCBclMLo+i7W60jfQJAyxxb90ajrfcEgD4yVYFkWixcvRmRkJGfczc0NK1euxKhRo+wjmIMg5qIVm6uF8lMIwnWREt6xBlK8NqbmmKuLpOS2FNbzuypkwFgBlUqF8PBwbN++nTMul8uxZcsWBAcH20cwO6P/AXt7MHBnuNsW3TVtUXQ5MIDwisZUO4IGhfEwBEFYHWcr1y81fCU1t8XZnt/RKJrxDCuSm5uLMWPG8IyXkiVLIi4urkgbL1N/eY5//0t+S89lwTCami5aF21UWwXWt1EYddsau6ZWKcQ/ptUKQTgjUkI3lhKXkoV6sY/gHXMf9WIfIS4lq+ACS8RU2wQttnz+ogB5YApAZmYmhg8fjjNnznDGfXx8cODAATRq1MhOktkfsdoLXu5uuB3KLQ4n9WMVUwoLbsix+u8HnIQ7giCcA2vvAIx/LEP3Cw84lXYLe3ePObkttAPScsgDYyFpaWno27cvz3ipWLEiTpw4UaSNF8A2yWni5zJIz2Ux+VxGoa6yCIJwLMIT0rHghlywTYCQB8RWXhqxHBbKbbEuZMBYwL///osePXrg8uXLnPEaNWrg5MmTqFGjhp0kcxxs8QGbOlepBk9BEQRRNIhLyUJ0cjY0hf6FEeq9ZhiStoYRY4sdSwQfMmDMJDk5GT169OB1PG3UqBHi4+MREBBgJ8kcC3M/YCkrobdKmX5dafshQRRNIi5lihab01JCbw0kNU/FEii3pXCgHBgz+O233zBw4ECkp6dzxtu3b4/du3ejVCmyrrWYs+VQasb+udQ8k/clFy1BFE2kLF6y9abYugYL5bbYHjJgJPLTTz8hNDQUWVlcz0Dfvn2xZcsWeHh42Eky62CLfhxSP2Cp1ShNtRqQMdB5eKi/CEEULaTUmtKr2EA1WFwACiFJ4Ouvv8agQYN4xsuoUaMQExPjEsaL1FiwLZLepK6EZOKhbQCvX2ZbxrYJgnBMFjQuBbmEXzSt3hIKczMAugXIbSMgYXXIgDHB9u3bMWrUKCiVSs54eHg4Vq1aBZnM+a11qbFgWxkGphJ+tUaTKQ9MHqt5FlvGtgmCcFxYCQ1h9UPUw6p5clJ+WQB7b+XQYsdJIANGBJZlsXLlSoSFhYE1+CoWL16Mjz/+GAxjwiXgJEj1gNjKMDCW8KtvNEnhXpaK+osQhAsj5gWOuJTJqfRtDK3eOnVPyUv8pcWO80A5MAKo1WrMnz8fUVFRnHGZTIZ169Zh6NChdpLMNkiNBdvKMAgJ9EJiai6238iGitWEioZV80RIoBfqxT7iGU2AZo6QR0YrM8W2CcL1MJbwb64eMjafFjvOAXlgDMjLy8OkSZN4xounpyd2797tcsYLIH3Ls62KM8WlZGHvrRydQaJiX7txxRSJioWozFSDgSBcE2NeYDE9JJY7F+Alo4JzTg4ZMHpkZ2djxIgR2LdvH2e8dOnSOHjwIIKCguwkmW2RWrPAVoaBJUpJK6NGZpYjM9VgIAjXxJgXWEw/japRnBY7LgqFkP7j+fPnGDJkCM6fP88ZL1euHA4ePIj69evbSbLCQWq7eUB6O3mpGFNKm9spRLu1amW+efMmqlevbvbzEAThXBgLd2u/94+T0pGa68bRTy38jZdVoJILzgkZMABSU1Px7rvv4o8//uCMV65cGUeOHMFbb71lJ8kcD1sYBlKUEikYgiAWNC4luqABNPqpgfqBWQsaWuw4L0XegLl79y769++PO3fucMbr1KmDgwcP4o033rCTZEUHKUrJXAVDhewIwvWgBQ2hT5E3YHr06IFHjx5xxpo3b479+/dDoVDYSaqihbWVktTWBARBOB+28pjQosf5KPIGjKHx0rVrV+zYsQMlSpSwk0RFE2sqJamtCQiCIABa9DgrtAtJj0GDBmHv3r1kvDg5VMiOIAhzoOrdzgkZMP8xYcIEbNy4Ee7u7vYWpchgi75KgO3q1RAEYX/s2Y+NcCyKfAgJAObNm4eZM2e6TGsAZ8CaLtv4xzIMuPxIF7vuFiDH3ls5oknBBEE4J7YK9VBnauekyHtgIiMjMWvWLDJeChlruWzjUrLw2S05p8Hk3ls5GFbNkwrZEYSLYY9+bITjUuQ9MGPHjrW3CEUSa7lsIy5lIkfNVTzZKhan7ilxdVB5i+UjCMLxENMP/2apUC9W44X19/DEIrcsowsWoR1Ha1qXoV1ITkaRN2AI+2DMZWvOdkaKXRNE0UFMbzB43cD1Ua6b0bCSWBhqTesytOhxMop8CImwD2Iu224Bckz95TknJDT1l+eiiXrecuHQH8WuCcL1ENIbDADDxvTGwkq048h1IAOGsAtiDRdP3VNKVi5xKVl4mW+ougB3BhS7JggXREhv8DWABnO9s+S1dT4ohETYDaHidRPOZgjOFVIuEZcyoVTz55aSMxS7JggXxVBv1It9JBhWMuadpR1HrgF5YAiHwpwaLmIrpme5YmsygiBcjQWNS8FdwFZ5mc8Khp5px5HrQAYM4VCYo1yoYB1BECGBXigl4G1RqiEYehYLX5PX1vmgEBLhUJjT2NFUF2uCIIoGYl5XMS+trRpCEoULGTCEwyFVuWjnfJyUjtRcN6rdQBBFFMprKZqQAUM4NSGBXmigfoDq1avbWxSCIOwEeWOLJpQDQxAEQTg13LwW1uK8Fls1mCVsA3lgCIIgCKdHG3q+efOmRR5ZWzWKJGwHeWAIu0GrHYIgHAWq0Ot8kAeGsAu02iEIwpGgCr3OB3lgCLsgZbVDHhqCIKyJMZ1CdaWcDzJgCLtgarWj9dBIbepIEARhDFM6hSr0Oh9kwBB2wdRqh+LRBEFYE1M6hSr0Oh+UA0PYBVN1GygeTRCENZGiU6hCr3NBHhjCLpha7VA8miAIa0I6xfUgDwxhN4ytdqiyJkEQ1oR0iutBHhjCIaF4NEEQ1oR0iutBHhjCYaF4NEEQ1oR0imtBHhiCIAiCIJwOMmAIgiAIgnA6yIAhCIIgCMLpIAOGIAiCIAingwwYgiAIgiCcDjJgCIIgCIJwOsiAIQiCIAjC6SADhiAIgiAIp4MMGIIgCIIgnA4yYAiCIAiCcDqYjIwM1vQ0giAIgiAIx4E8MARBEARBOB1kwBAEQRAE4XSQAUMQBEEQhNNBBgxBEARBEE4HGTAEQRAEQTgdZMC4CL169YJCoeD8b8yYMfYWy6Zs3boV9evXh7+/P9q3b4+EhAR7i1SoLF26lPdvXqNGDXuLRTgRz549w8yZM9G0aVOUL18edevWxfTp05Genm5v0SzC1XTCypUr0bFjR1SqVAmBgYEYPHgwrl+/bm+xrM7KlSuhUCgwc+ZMs84jA8aFCA0NRXJysu5/q1atsrdINuPQoUOYM2cOwsPDcfbsWTRr1gwhISH4999/7S1aoVK9enXOv7mzK2yicHn48CEePnyITz/9FAkJCdi0aRMSEhIwduxYe4tmNq6oE86dO4exY8fi5MmTOHr0KIoVK4Z+/frh2bNn9hbNaly8eBHbt29H3bp1zT6X6sC4CL169UKdOnWwfPlye4tSKHTu3Bl169bFmjVrdGONGjVCcHAwFi5caEfJCo+lS5fi6NGjOH/+vL1FIVyIU6dOYfDgwfj7779RunRpe4sjmaKgE16+fInKlStjz549CAoKsrc4Beb58+do37491qxZg2XLlpn9G0YeGBfi4MGDeOutt9CiRQvMnz8fmZmZ9hbJJiiVSly5cgWdOnXijHfq1AlJSUl2kso+3L17F7Vq1UL9+vUxZswY3L17194iEU5OZmYmPDw8UKJECXuLIpmiohNevnwJtVoNhUJhb1GsQlhYGIKDg9GuXTuLzi9mZXkIOxESEoJKlSqhfPny+Ouvv/Dpp5/i2rVrOHz4sL1FszppaWlQqVQoV64cZ7xcuXJ4/PixnaQqfJo0aYKoqChUr14dT58+xfLly9GtWzckJibCx8fH3uIRTkhGRgaWLFmC9957D8WKOc/PQ1HRCXPmzEG9evXQrFkze4tSYHbs2IHbt29j8+bNFl/Ded7QIsjixYuxYsUKo3OOHTuGtm3bYtSoUbqxunXrokqVKujcuTOuXLmCBg0a2FhSwh507dqV899NmjRBgwYNsHfvXkyZMsVOUhGOgDm6Q8vLly8xdOhQvPHGG4iIiLC1iISZzJs3D4mJiThx4gRkMpm9xSkQN2/eREREBE6cOAF3d3eLr0MGjAMzceJEDBo0yOicgIAAwfGGDRtCJpPh9u3bLmfA+Pr6QiaT4cmTJ5zxJ0+ewM/Pz05S2Z+SJUuiVq1auH37tr1FIeyMubrj5cuXCAkJAQDs378fnp6eNpXP2ri6Tpg7dy4OHTqEY8eOoUqVKvYWp8BcuHABaWlpaNGihW5MpVIhISEB0dHRePDgATw8PExehwwYB8bX1xe+vr4WnXvt2jWoVCr4+/tbWSr7I5fL0aBBA5w+fRr9+vXTjZ8+fRp9+/a1o2T2JScnBzdv3uSsqomiiTm6IzMzEyEhIWBZFgcOHEDJkiVtLJ31cWWdMHv2bBw+fBjHjh1zmTIJvXr1QsOGDTljkydPRmBgIKZPnw65XC7pOmTAuAB37txBbGwsunXrBh8fHyQnJ2P+/PmoX78+x8J1JSZPnoz3338fjRs3RvPmzREdHY1Hjx5h9OjR9hat0Jg/fz569OiBgIAAXQ7Mq1evMHToUHuLRjgJmZmZGDBgADIzM7Fnzx68evUKr169AgB4e3tL/iFxBFxRJ8yYMQP79+/H7t27oVAokJqaCgDw8vJySkNTi7ZulT4lSpSAt7c36tSpI/k6ZMC4AO7u7jhz5gw2btyIrKwsVKxYEd26dcOcOXOcPlYqxoABA5Ceno7ly5cjNTUVtWvXRmxsLCpXrmxv0QqNBw8eYNy4cUhLS0PZsmXRpEkTfPfdd0Xqb0AUjCtXruDixYsAgMaNG3OOGebIODquqBO2bt0KAAgODuaMz549G3PnzrWHSA4F1YEhCIIgCMLpoDowBEEQBEE4HWTAEARBEAThdJABQxAEQRCE00EGDEEQBEEQTgcZMARBEARBOB1kwBAEQRAE4XSQAUMI8uDBA5QvXx5nzpyxtyg6evXqhaZNm1p8vkKhwJ49e6woEfD06VO88cYbOHXqlFWvSxCuij10S7169TBx4sRCuc/SpUutek2lUok6deroasIQryEDhhBk2bJlqFu3Ltq3b68bW7p0KRQKBQIDA/Hy5UveOS1btkSvXr0KU0yb0Lt3b1StWhVPnz7lHVu0aBEUCgV+/vlnAEDZsmUxYsQILFmyBCxLJZUIwhSGumXdunVQKBS4dOkSb+7bb78NhUKBK1eu8I7Vrl0b3bt3t5mcSUlJWLp0KTIyMqx+7YkTJ8LPzw/Jycm8Yzt27IBCocDevXsBaNokTJo0CZGRkcjJybG6LM4MGTAEj6dPn2Lv3r2iJbjT0tKwZcuWQpaq8Fi1ahVevXqFefPmccavXbuGNWvWIDQ0lFOhdMyYMfjf//6Hs2fPFraoBOFUCOmWli1bAgDOnz/Pmfvvv//i3r17KFasGBITEznH7t69i4cPH0pulfLrr79izZo1Zsl64cIFLFu2DM+fPzfrPCksXrwYJUuWRFhYGGfhk5qaigULFqBdu3YYNmyYbnz48OFIS0tDbGys1WVxZsiAIXjs378fgMYTIUS9evWwbt06QS+MK1C9enWEhYUhNjYWp0+fBgCo1WqEhYWhdOnSWLRoEWd+rVq1UKdOHauHpwjC1RDSLe+88w5KlCjBM1ISExPh6emJoKAg3jGtsWPMgGFZFtnZ2QAADw8PuLu7W+UZrIGvry8WLVqE8+fPY+fOnbrx2bNnIycnB6tWreLMVygU6Nixo84rQ2ggA6YI8ejRI3zwwQeoUaMG/Pz80KxZM2zbto037/jx42jYsCGv2ZaW2bNnIy0tDZs3bzZ5T5ZlsWnTJrRq1Qr+/v6oVq0apkyZgrS0NN7c06dPo0+fPqhUqRICAgLQvn17zsctxC+//IJKlSph8ODByM3NNSmPVKZPn47q1atj+vTpyM7OxpYtW3Dx4kUsWbIEPj4+vPkdOnRAfHw8VCqV1WQgCGehILqlWLFiaNy4MZKSkjhzk5KS0LBhQ7Rt21bwGMMwHANGoVBg2rRpOHToEFq1agU/Pz8cOnQIgHAOzNatW9GqVStUqFABlStXRps2bRATEwNAEy7/+OOPAWgMLG3zQW3o2BpoPbkLFy7E48ePceLECRw5cgTh4eEIDAzkze/YsSMSExPx5MkTq8ng7FAzxyLCkydP0KVLF6jVaowdOxblypXDmTNnEB4ejvT0dMycORMAkJeXh8uXL2PEiBGi12ratCm6dOmCdevWYcKECUa7ok6fPh27du3C0KFDMX78eNy/fx+bN2/Gb7/9hh9//BGenp4AgH379mHixImoWbMmpk6dCh8fH1y7dg0nT57Ee++9J3jt06dPIzQ0FF27dsXWrVutusLy8PDAqlWr0Lt3b8yYMQNHjx5F+/btMWTIEMH5DRo0QFRUFK5du4b69etbTQ6CcHSsoVtatGiBn3/+Gbdu3UK1atUAaLws3bt3R7NmzfDw4UPcvXsXVapUAaDxztSqVQve3t6c6yQkJODrr7/G+PHj4e/vjxo1agjKvHPnTsyYMQPBwcEYP3488vLy8NdffyEpKQmjR49Gnz59kJKSggMHDuCzzz6Dr68vAKBmzZrW+rMB0ISrW7dujenTp+PKlSuoWbMmwsLCBOc2aNAAgMZ4E/OOFzXIgCkiLF68GEqlEgkJCShbtiwATe7G1KlTsXLlSowfPx4KhQL37t1Ddna2TlGIMWfOHHTp0gWbN2/G9OnTBeckJSUhJiYGGzZswNChQ3XjnTt3RlBQEPbt24dRo0bhxYsXmDVrFt555x3Ex8ejePHiurliibHx8fEYNWoU+vXrh6ioKJt03W7Tpg2GDRuGPXv2wNPTk+fW1Uf790pOTiYDhihSWEO36OfBVKtWDc+fP8eff/6JBQsWoF69eihZsiTOnz+PKlWq4NmzZ0hOTsaoUaN417lx4wbOnDlj8hs8efIkateujR07dggef/vtt/HOO+/gwIED6NWrF958803z/igSqVatGqZNm4bPP/8cDMPg+PHjkMvlgnP1dQwZMBoohFQEYFkWX3/9Nbp16waGYZCWlqb7X6dOnZCdna3bAZCeng4AouEjLU2aNNF5YTIzMwXnHD58GCVLlkSXLl0499S6mbXu2NOnT+PFixeYNm0ax3gBAIZheNf9+uuv8d5772Ho0KHYsGGDTYwXLdqV11tvvWXUqNP+vYRCYwThqlhLtzRt2hQymUyX63LhwgWwLIvmzZtDJpOhUaNGumOJiYlgWVZn9OjTvHlzSQuI0qVL4/79+/jtt98sfnZrodUxvr6+Oi+LEKRj+JABUwR4+vQpMjIysHv3bgQGBnL+p13FGMZVpWwJnjNnDtLT00VzYVJSUvDy5UtUr16dd9/Hjx/r7nnnzh0Amm2Rprh37x7GjBmDoKAgrF69Gm5utnuFr169ig0bNqBOnTq4fv06oqOjRedq/15CBhdBuCrW0i2lSpVC3bp1dUZKUlISatasqfvRbt68OecYIJzAa8pzrCUsLAylSpVCp06d0KBBA0ybNs0uuwgfPnyIRYsWoXbt2khLS8Pnn38uOpd0DB8KIRUB1Go1AGDgwIEYPny44JxatWoBeL0akFL7oEmTJujatSvWr1+PCRMmCN7Xx8dH9IfflJdHiHLlyqFSpUr48ccfceHCBTRr1szsa0hBu+vIx8cH3377LUaOHImIiAj06dMH/v7+vPnav5f270cQRQFr6pYWLVpg8+bNePLkCc6fP4/mzZvrjjVv3hwrVqxAeno6EhMTUbFiRVSuXJl3DUMPrhg1a9bExYsX8d133+GHH37AyZMnERMTg3HjxmHFihWSrmENZs+ejby8POzduxeRkZGIiorC4MGDUbduXd5c0jF8yIApApQtWxalSpVCfn4+OnToYHRuQEAASpQogb///lvStefMmYPOnTtj06ZNvGNVq1bF6dOn0aRJE6OJvlWrVgUA/Pnnn6JJd1o8PDywb98+9OvXDyEhITh27JhNck62bNmCS5cuYevWrVAoFIiMjETr1q0xb948wd0V2r+XKfkJwpWwpm5p2bIlNm/ejJ9//hm//fYbxyBq2rQpGIbB2bNncfnyZfTp06fAspcoUQLBwcEIDg5Gfn4+Jk2ahK1bt2L69OmoUKFCga9vivj4eBw9ehQLFixA1apVERERgfj4eEyfPh0nTpzgeVpIx/ChEFIRQCaToW/fvjh+/DiuXr3KO65fcVa7pVGo8qUQjRs3Rrdu3bB+/XpeXZj+/ftDrVbjiy++4J2nUql0K4qOHTuidOnSWLVqla5ugxYxd/PBgwcREBCAAQMG4MaNG5Jklcr9+/exePFidO7cGQMHDgSgSbYLCwvDwYMH8eOPP/LOuXLlCkqWLCm4ciIIV8WaukUbEtq0aROys7M5IaIyZcqgVq1a2LBhA3JzcyUXsBNDm4+jL1udOnUAQFe4zsvLC4A0b7S5vHz5EjNnzkSdOnXwwQcfAAB8fHwQERGBpKQkweRi7d9N3zNV1CEPTBHhk08+wblz59CtWze89957qF27NjIyMnD16lV88803SE1N1c3t2bMnFixYgIyMDElhnjlz5qBTp0549uwZx63bunVrjB8/HmvWrMG1a9fQqVMneHh44Pbt2zh69Cjmzp2L0NBQlC5dGkuXLsWUKVPQsWNHDBw4ED4+Pvjzzz/x8OFD7N69m3dPhUKBw4cPo2fPnujXrx++/fZbyfFvU8yaNQv5+fmIjIzkjE+fPh0HDhxAeHg4zp8/r9sCDgA//fQTevToYdOEYoJwRKylW9544w28+eabSEpKgp+fn84zq6V58+a6Oi0FNWD69++PcuXKoUWLFvDz88OdO3ewefNm1K1bV7dVumHDhgCAiIgIDBw4EHK5HO3atUO5cuUKdG8AWLJkCe7fv49t27Zxyj+EhoZiz549+OSTT9CrVy/OvU6fPo1mzZpZ5f6uAnlgigjlypXDDz/8gBEjRuD48eOYOXMmoqKikJqaisWLF3PmDho0CAzD4JtvvpF07UaNGon2JFm+fDnWrl2LZ8+eYfHixfj0009x+vRp9OvXD+3atdPNCw0Nxf79++Ht7Y2VK1di4cKFuHjxInr06CF6Xz8/Pxw5cgQymQzBwcF48OCBJHmN8c033+D48eOYNWsWzyDy8PBAZGQk7ty5w4mTJycn4/r16wgNDS3w/QnC2bCmbtEaJkJeBu1YmTJldN4SSxk9ejSys7OxYcMGzJgxAwcPHkRoaCiOHDmi2xjQsGFDLFy4EMnJyZg8eTLGjh2Lv/76q0D3BTSelM2bN2PUqFGCz6ltZfLRRx/pxjIyMnR1r4jXMBkZGdSBjuARFhaGP/74A99//729RbEaCoUC69evt7oSmDVrFhITE3HmzBnaIUAQJnBF3aKlXr16GDZsGObOnWvV665btw7r1q3D5cuXJScqFwXIA0MIMmvWLPzxxx+F2vLeGXn69Cl27dqF+fPnk/FCEBIg3WIeSqUSUVFRmDFjBhkvBlAODCFIhQoV8OjRI3uL4fCULVsWDx8+tLcYBOE0kG4xD7lcjuvXr9tbDIeEPDAEQRAEQTgdlANDEARBEITTQR4YgiAIgiCcDjJgCIIgCIJwOsiAIQiCIAjC6SADhiAIgiAIp4MMGIIgCIIgnA4yYAiCIAiCcDr+H//ZeKpinp/QAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Multiple regression plot\n",
"from statsmodels.graphics.regressionplots import plot_partregress_grid\n",
"fig = plt.figure(figsize=(8, 6))\n",
"plot_partregress_grid(model, fig=fig)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another way to work with regressions and their plots is using the [Seaborn Regression Package](https://seaborn.pydata.org/tutorial/regression.html)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Another way to do simple exploratory plots\n",
"import seaborn as sns\n",
"df_test = df_penrose.sample(frac=0.10, replace=False)\n",
"fig, ax = plt.subplots(1, 4, figsize=(15,5))\n",
"\n",
"for i,o in enumerate(observations):\n",
" sns.regplot(x=o, y='bodyfat', data=df_test, ax=ax[i])\n",
" #g.axes.set_xlim(df_test[o].min()*.95,df_test[o].max()*1.05)\n",
" \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another nice simulator to play with is [this one](https://ndirienzo.shinyapps.io/linear_regression_sim/) which is from [Prof. Nicholas DiRienzo](https://ischool.arizona.edu/people/nicholas-dirienzo) from ASU's School of Information "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}